Resources
Testimonials
Plans
Sign in
Sign up
Resources
Testimonials
Plans
Home
Math Problems
Algebra 1
Multiplication with rational exponents
Simplify. Write your answer as a proper or improper fraction in simplest form.
\newline
6
7
1
7
=
□
□
\frac{\frac{6}{7}}{\frac{1}{7}}=\frac{\square}{\square}
7
1
7
6
=
□
□
Get tutor help
7
∫
1
+
sin
(
x
)
1
−
sin
(
x
)
d
x
7 \int \frac{1+\sin (x)}{1-\sin (x)} d x
7
∫
1
−
s
i
n
(
x
)
1
+
s
i
n
(
x
)
d
x
Get tutor help
d
d
x
1
(
x
+
5
)
2
\frac{d}{d x} \frac{1}{(x+5)^{2}}
d
x
d
(
x
+
5
)
2
1
Get tutor help
f
′
(
x
)
=
−
4
x
2
f^{\prime}(x)=-\frac{4}{x^{2}}
f
′
(
x
)
=
−
x
2
4
and
f
(
2
)
=
4
f(2)=4
f
(
2
)
=
4
\newline
f
(
1
)
=
f(1)=
f
(
1
)
=
Get tutor help
Which expressions are equivalent to
\newline
7
−
2
⋅
7
6
7^{-2} \cdot 7^{6}
7
−
2
⋅
7
6
?
\newline
Choose
2
2
2
answers:
\newline
A
\newline
7
2
7
−
2
\frac{7^{2}}{7^{-2}}
7
−
2
7
2
\newline
B
\newline
7
6
7
−
2
\frac{7^{6}}{7^{-2}}
7
−
2
7
6
\newline
C
\newline
7
−
12
7^{-12}
7
−
12
\newline
D
\newline
(
7
2
)
2
(7^{2})^{2}
(
7
2
)
2
Get tutor help
Which exponential expression is equivalent to
a
3
\sqrt[3]{a}
3
a
?
\newline
Choose
1
1
1
answer:
\newline
(A)
1
a
3
\frac{1}{a^{3}}
a
3
1
\newline
(B)
a
3
a^{3}
a
3
\newline
(C)
a
1
3
a^{\frac{1}{3}}
a
3
1
\newline
(D)
1
a
1
3
\frac{1}{a^{\frac{1}{3}}}
a
3
1
1
Get tutor help
Solve for
x
x
x
and write your answer in simplest form.
\newline
−
5
2
(
−
1
2
x
−
4
)
+
x
=
−
(
9
x
+
5
2
)
−
1
-\frac{5}{2}\left(-\frac{1}{2} x-4\right)+x=-\left(9 x+\frac{5}{2}\right)-1
−
2
5
(
−
2
1
x
−
4
)
+
x
=
−
(
9
x
+
2
5
)
−
1
\newline
Answer:
x
=
x=
x
=
Get tutor help
Solve for
x
x
x
and write your answer in simplest form.
\newline
−
3
x
−
3
2
(
−
5
x
+
1
)
=
1
2
(
−
x
−
1
2
)
−
5
-3 x-\frac{3}{2}(-5 x+1)=\frac{1}{2}\left(-x-\frac{1}{2}\right)-5
−
3
x
−
2
3
(
−
5
x
+
1
)
=
2
1
(
−
x
−
2
1
)
−
5
\newline
Answer:
x
=
x=
x
=
Get tutor help
Solve for
x
x
x
and write your answer in simplest form.
\newline
−
3
2
+
x
=
−
(
−
1
5
x
−
1
2
)
−
x
-\frac{3}{2}+x=-\left(-\frac{1}{5} x-\frac{1}{2}\right)-x
−
2
3
+
x
=
−
(
−
5
1
x
−
2
1
)
−
x
\newline
Answer:
x
=
x=
x
=
Get tutor help
Solve for
x
x
x
and write your answer in simplest form.
\newline
−
4
=
x
−
2
(
−
x
+
5
2
)
+
6
5
-4=x-2\left(-x+\frac{5}{2}\right)+\frac{6}{5}
−
4
=
x
−
2
(
−
x
+
2
5
)
+
5
6
\newline
Answer:
x
=
x=
x
=
Get tutor help
Solve for
x
x
x
and write your answer in simplest form.
\newline
1
+
6
(
−
1
5
x
−
1
)
=
−
(
−
1
5
x
+
6
)
−
2
x
1+6\left(-\frac{1}{5} x-1\right)=-\left(-\frac{1}{5} x+6\right)-2 x
1
+
6
(
−
5
1
x
−
1
)
=
−
(
−
5
1
x
+
6
)
−
2
x
\newline
Answer:
x
=
x=
x
=
Get tutor help
Solve for
x
x
x
and write your answer in simplest form.
\newline
3
5
(
−
2
3
x
−
5
)
=
−
3
5
x
+
2
(
x
+
3
)
\frac{3}{5}\left(-\frac{2}{3} x-5\right)=-\frac{3}{5} x+2(x+3)
5
3
(
−
3
2
x
−
5
)
=
−
5
3
x
+
2
(
x
+
3
)
\newline
Answer:
x
=
x=
x
=
Get tutor help
Solve for
x
x
x
and write your answer in simplest form.
\newline
−
3
2
−
(
−
1
2
x
+
10
)
+
x
=
9
x
-\frac{3}{2}-\left(-\frac{1}{2} x+10\right)+x=9 x
−
2
3
−
(
−
2
1
x
+
10
)
+
x
=
9
x
\newline
Answer:
x
=
x=
x
=
Get tutor help
Solve for
x
x
x
and write your answer in simplest form.
\newline
4
−
(
−
3
2
x
−
5
2
)
=
5
4-\left(-\frac{3}{2} x-\frac{5}{2}\right)=5
4
−
(
−
2
3
x
−
2
5
)
=
5
\newline
Answer:
x
=
x=
x
=
Get tutor help
Solve for
z
z
z
. Express your answer as a proper or improper fraction in simplest terms.
\newline
−
1
2
+
7
10
z
=
−
1
3
-\frac{1}{2}+\frac{7}{10} z=-\frac{1}{3}
−
2
1
+
10
7
z
=
−
3
1
\newline
Answer:
z
=
z=
z
=
Get tutor help
Factor the expression completely.
\newline
x
4
y
4
+
x
3
y
5
x^{4} y^{4}+x^{3} y^{5}
x
4
y
4
+
x
3
y
5
\newline
Answer:
Get tutor help
Factor the expression completely.
\newline
x
5
y
2
−
x
3
y
5
x^{5} y^{2}-x^{3} y^{5}
x
5
y
2
−
x
3
y
5
\newline
Answer:
Get tutor help
Factor the expression completely.
\newline
x
4
y
2
−
x
2
y
5
x^{4} y^{2}-x^{2} y^{5}
x
4
y
2
−
x
2
y
5
\newline
Answer:
Get tutor help
Find the
x
x
x
-coordinates of all relative minima of
f
(
x
)
f(x)
f
(
x
)
.
\newline
f
(
x
)
=
3
4
x
4
+
2
x
3
−
36
x
2
+
7
f(x)=\frac{3}{4} x^{4}+2 x^{3}-36 x^{2}+7
f
(
x
)
=
4
3
x
4
+
2
x
3
−
36
x
2
+
7
\newline
Answer:
x
=
x=
x
=
Get tutor help
Find the
x
x
x
-coordinates of all relative minima of
f
(
x
)
f(x)
f
(
x
)
.
\newline
f
(
x
)
=
−
3
x
3
−
36
x
2
+
81
x
−
46
f(x)=-3 x^{3}-36 x^{2}+81 x-46
f
(
x
)
=
−
3
x
3
−
36
x
2
+
81
x
−
46
\newline
Answer:
x
=
x=
x
=
Get tutor help
Factor the expression completely.
\newline
x
4
−
x
2
−
12
x^{4}-x^{2}-12
x
4
−
x
2
−
12
\newline
Answer:
Get tutor help
(
a
b
)
c
⋅
a
(
b
c
)
\frac{\left(\frac{a}{b}\right)}{c} \cdot \frac{a}{\left(\frac{b}{c}\right)}
c
(
b
a
)
⋅
(
c
b
)
a
Get tutor help
Select the equivalent expression.
\newline
(
4
3
5
−
2
)
5
=
\left(\frac{4^{3}}{5^{-2}}\right)^{5}=
(
5
−
2
4
3
)
5
=
?
\newline
Choose
1
1
1
answer:
\newline
(A)
4
8
5
3
\frac{4^{8}}{5^{3}}
5
3
4
8
\newline
(B)
4
15
5
10
\frac{4^{15}}{5^{10}}
5
10
4
15
\newline
(C)
4
15
⋅
5
10
4^{15}\cdot 5^{10}
4
15
⋅
5
10
Get tutor help
Is
36
25
⋅
11
\frac{36}{25} \cdot \sqrt{11}
25
36
⋅
11
rational or irrational?
\newline
Choose
1
1
1
answer:
\newline
(A) Rational
\newline
(B) Irrational
\newline
(C) It can be either rational or irrational
Get tutor help
(
9
8
)
11
2
+
(
3
4
)
17
2
\left(\frac{9}{8}\right)^{\frac{11}{2}}+\left(\frac{3}{4}\right)^{\frac{17}{2}}
(
8
9
)
2
11
+
(
4
3
)
2
17
\newline
Which of the following values is equal to the given value?
\newline
Choose
1
1
1
answer:
\newline
(A)
3
39
2
2
67
2
\frac{3^{\frac{39}{2}}}{2^{\frac{67}{2}}}
2
2
67
3
2
39
\newline
(B)
(
15
8
)
14
\left(\frac{15}{8}\right)^{14}
(
8
15
)
14
\newline
(C)
3
11
+
3
17
2
2
33
2
+
2
17
\frac{3^{11}+3^{\frac{17}{2}}}{2^{\frac{33}{2}}+2^{17}}
2
2
33
+
2
17
3
11
+
3
2
17
\newline
(D)
3
11
⋅
2
+
3
8
⋅
3
2
17
\frac{3^{11}\cdot\sqrt{2}+3^{8}\cdot\sqrt{3}}{2^{17}}
2
17
3
11
⋅
2
+
3
8
⋅
3
Get tutor help
Select the equivalent expression.
\newline
(
2
−
4
⋅
z
−
3
)
5
=
?
(2^{-4} \cdot z^{-3})^{5}= ?
(
2
−
4
⋅
z
−
3
)
5
=
?
\newline
Choose
1
1
1
answer:
\newline
(A)
2
z
2
2z^{2}
2
z
2
\newline
(B)
2
20
⋅
z
15
2^{20} \cdot z^{15}
2
20
⋅
z
15
\newline
(C)
1
2
20
⋅
z
15
\frac{1}{2^{20} \cdot z^{15}}
2
20
⋅
z
15
1
Get tutor help
Find the slope-intercept form for the line passing through
(
1
7
,
8
9
)
\left(\frac{1}{7},\frac{8}{9}\right)
(
7
1
,
9
8
)
and
(
1
8
,
7
8
)
\left(\frac{1}{8},\frac{7}{8}\right)
(
8
1
,
8
7
)
.
Get tutor help
Solve the expression
\newline
5
6
+
(
−
2
3
)
+
1
3
−
(
−
2
3
÷
3
2
)
=
\frac{5}{6}+\left(-\frac{2}{3}\right)+\frac{1}{3}-\left(-\frac{2}{3}\div\frac{3}{2}\right)=
6
5
+
(
−
3
2
)
+
3
1
−
(
−
3
2
÷
2
3
)
=
Get tutor help
Given the function
\newline
y
=
4
8
x
2
−
6
x
+
9
6
,
y=\frac{4}{\sqrt[6]{8x^{2}-6x+9}},
y
=
6
8
x
2
−
6
x
+
9
4
,
find
\newline
d
y
d
x
\frac{dy}{dx}
d
x
d
y
in any form.
Get tutor help
1
4
a
=
4
15
\frac{1}{4}a = \frac{4}{15}
4
1
a
=
15
4
Get tutor help
4
i
(
1
2
−
3
2
i
)
4i\left(\frac{1}{2}-\frac{3}{2}i\right)
4
i
(
2
1
−
2
3
i
)
Get tutor help
(
1
2
−
5
2
i
)
(
1
3
+
2
3
i
)
\left(\frac{1}{2}-\frac{5}{2}i\right)\left(\frac{1}{3}+\frac{2}{3}i\right)
(
2
1
−
2
5
i
)
(
3
1
+
3
2
i
)
Get tutor help
d
d
x
(
y
x
+
x
y
=
−
2
)
\frac{d}{dx}\left(\frac{y}{x}+xy=-2\right)
d
x
d
(
x
y
+
x
y
=
−
2
)
Get tutor help
Solve for
x
\mathrm{x}
x
.
\newline
−
2
13
=
x
39
-\frac{2}{13}=\frac{x}{39}
−
13
2
=
39
x
\newline
Answer:
Get tutor help
Solve for
x
\mathrm{x}
x
.
\newline
−
2
13
=
4
x
-\frac{2}{13}=\frac{4}{x}
−
13
2
=
x
4
\newline
Answer:
Get tutor help
Solve for
x
\mathrm{x}
x
.
\newline
−
2
7
=
4
x
-\frac{2}{7}=\frac{4}{x}
−
7
2
=
x
4
\newline
Answer:
Get tutor help
Solve for
x
\mathrm{x}
x
.
\newline
−
3
11
=
x
22
-\frac{3}{11}=\frac{x}{22}
−
11
3
=
22
x
\newline
Answer:
Get tutor help
162
a
8
4
\sqrt[4]{162a^{8}}
4
162
a
8
\newline
(A)
3
a
2
2
4
3a^{2}\sqrt[4]{2}
3
a
2
4
2
\newline
(B)
2
a
7
a
3
4
2a\sqrt[4]{7a^{3}}
2
a
4
7
a
3
\newline
(C)
3
3
a
3
4
3\sqrt[4]{3a^{3}}
3
4
3
a
3
\newline
(D)
3
a
7
a
4
3a\sqrt[4]{7a}
3
a
4
7
a
Get tutor help
Equivalent expression.
\newline
(
x
6
⋅
x
7
)
/
(
x
−
8
)
(x^{6} \cdot x^{7}) / (x^{-8})
(
x
6
⋅
x
7
)
/
(
x
−
8
)
Get tutor help
f
(
x
)
=
5
2
x
−
x
2
3
f(x)=\frac{5}{\sqrt[3]{2x-x^{2}}}
f
(
x
)
=
3
2
x
−
x
2
5
Get tutor help
Which expression is equivalent to
3
4
3
5
⋅
3
8
?
\frac{3^{4}}{3^{5}} \cdot 3^{8} ?
3
5
3
4
⋅
3
8
?
\newline
3
7
3^{7}
3
7
\newline
1
3
7
\frac{1}{3^{7}}
3
7
1
\newline
3
9
3^{9}
3
9
\newline
1
3
9
\frac{1}{3^{9}}
3
9
1
Get tutor help
Which expression is equivalent to
5
−
6
5
−
4
×
5
−
4
\frac{5^{-6}}{5^{-4}} \times 5^{-4}
5
−
4
5
−
6
×
5
−
4
?
\newline
2
5
−
6
25^{-6}
2
5
−
6
\newline
5
8
5^{8}
5
8
\newline
2
5
8
25^{8}
2
5
8
\newline
5
−
6
5^{-6}
5
−
6
Get tutor help
Which expression is equivalent to
(
3
2
)
−
6
3
4
?
\frac{\left(3^{2}\right)^{-6}}{3^{4}} ?
3
4
(
3
2
)
−
6
?
\newline
1
3
17
\frac{1}{3^{17}}
3
17
1
\newline
3
16
3^{16}
3
16
\newline
1
3
18
\frac{1}{3^{18}}
3
18
1
\newline
1
3
16
\frac{1}{3^{16}}
3
16
1
Get tutor help
Which expression is equivalent to
(
2
6
2
0
)
−
1
\left(\frac{2^{6}}{2^{0}}\right)^{-1}
(
2
0
2
6
)
−
1
?
\newline
2
−
6
2^{-6}
2
−
6
\newline
2
5
2^{5}
2
5
\newline
2
−
7
2^{-7}
2
−
7
\newline
0
0
0
Get tutor help
Which expression is equivalent to
(
6
−
5
)
−
1
6
5
?
\frac{\left(6^{-5}\right)^{-1}}{6^{5}} ?
6
5
(
6
−
5
)
−
1
?
\newline
1
6
\frac{1}{6}
6
1
\newline
0
0
0
\newline
6
6
6
\newline
1
1
1
Get tutor help
Which expression is equivalent to
(
4
4
−
2
)
−
6
?
\left(\frac{4}{4^{-2}}\right)^{-6} ?
(
4
−
2
4
)
−
6
?
\newline
4
−
12
4^{-12}
4
−
12
\newline
4
−
18
4^{-18}
4
−
18
\newline
4
−
3
4^{-3}
4
−
3
\newline
4
12
4^{12}
4
12
Get tutor help
Which expression is equivalent to
3
−
5
⋅
3
0
3
−
1
?
\frac{3^{-5} \cdot 3^{0}}{3^{-1}} ?
3
−
1
3
−
5
⋅
3
0
?
\newline
0
0
0
\newline
1
1
1
\newline
1
3
4
\frac{1}{3^{4}}
3
4
1
\newline
1
3
2
\frac{1}{3^{2}}
3
2
1
Get tutor help
Which expression is equivalent to
2
−
4
(
2
2
)
4
?
\frac{2^{-4}}{\left(2^{2}\right)^{4}} ?
(
2
2
)
4
2
−
4
?
\newline
1
2
10
\frac{1}{2^{10}}
2
10
1
\newline
1
2
14
\frac{1}{2^{14}}
2
14
1
\newline
1
2
12
\frac{1}{2^{12}}
2
12
1
\newline
2
12
2^{12}
2
12
Get tutor help
Which expression is equivalent to
5
0
(
5
2
)
5
?
\frac{5^{0}}{\left(5^{2}\right)^{5}} ?
(
5
2
)
5
5
0
?
\newline
1
1
1
\newline
0
0
0
\newline
1
5
10
\frac{1}{5^{10}}
5
10
1
\newline
1
5
7
\frac{1}{5^{7}}
5
7
1
Get tutor help
Which expression is equivalent to
4
−
4
4
5
×
4
−
4
\frac{4^{-4}}{4^{5}} \times 4^{-4}
4
5
4
−
4
×
4
−
4
?
\newline
4
36
4^{36}
4
36
\newline
1
6
36
16^{36}
1
6
36
\newline
1
1
6
13
\frac{1}{16^{13}}
1
6
13
1
\newline
1
4
13
\frac{1}{4^{13}}
4
13
1
Get tutor help
Previous
1
...
12
13
14
...
17
Next
