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Math Problems
Algebra 2
Evaluate rational exponents
Express the given expression as an integer or as a fraction in simplest form.
\newline
(
1
0
log
5
)
\left(10^{\log 5}\right)
(
1
0
l
o
g
5
)
\newline
Answer:
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1
4
y
−
7
=
2
9
y
\frac{1}{4}y-7=\frac{2}{9}y
4
1
y
−
7
=
9
2
y
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The measure of an angle-is
8
1
∘
81^{\circ}
8
1
∘
. What is the measure of its supplementary angle?
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Simplify. Your answer should be in proper scientific notation
\newline
25
(
8
×
1
0
3
)
25\left(8 \times 10^{3}\right)
25
(
8
×
1
0
3
)
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Write in exponential notation:
\newline
(
−
3
)
5
(
−
3
)
(-3)^{5}(-3)
(
−
3
)
5
(
−
3
)
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Fully simplify.
\newline
13
x
3
(
−
9
x
5
y
4
)
13 x^{3}\left(-9 x^{5} y^{4}\right)
13
x
3
(
−
9
x
5
y
4
)
\newline
Answer:
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Fully simplify using only positive exponents.
\newline
40
x
7
y
4
16
x
y
3
\frac{40 x^{7} y^{4}}{16 x y^{3}}
16
x
y
3
40
x
7
y
4
\newline
Answer:
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Fully simplify.
\newline
(
−
3
x
5
y
2
)
4
\left(-3 x^{5} y^{2}\right)^{4}
(
−
3
x
5
y
2
)
4
\newline
Answer:
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Fully simplify.
\newline
−
9
y
2
(
−
9
x
)
-9 y^{2}(-9 x)
−
9
y
2
(
−
9
x
)
\newline
Answer:
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Fully simplify.
\newline
(
3
x
5
y
3
)
5
\left(3 x^{5} y^{3}\right)^{5}
(
3
x
5
y
3
)
5
\newline
Answer:
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Fully simplify.
\newline
(
4
x
4
y
4
)
5
\left(4 x^{4} y^{4}\right)^{5}
(
4
x
4
y
4
)
5
\newline
Answer:
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Fully simplify.
\newline
(
3
x
4
+
y
5
)
2
\left(3 x^{4}+y^{5}\right)^{2}
(
3
x
4
+
y
5
)
2
\newline
Answer:
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Fully simplify.
\newline
6
x
(
−
14
x
4
y
3
)
6 x\left(-14 x^{4} y^{3}\right)
6
x
(
−
14
x
4
y
3
)
\newline
Answer:
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Fully simplify.
\newline
−
2
x
4
y
2
(
5
x
y
4
)
-2 x^{4} y^{2}\left(5 x y^{4}\right)
−
2
x
4
y
2
(
5
x
y
4
)
\newline
Answer:
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Fully simplify.
\newline
(
4
x
5
+
y
3
)
2
\left(4 x^{5}+y^{3}\right)^{2}
(
4
x
5
+
y
3
)
2
\newline
Answer:
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Fully simplify.
\newline
(
−
2
x
5
y
2
)
2
\left(-2 x^{5} y^{2}\right)^{2}
(
−
2
x
5
y
2
)
2
\newline
Answer:
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Simplify:
\newline
(
−
s
3
)
3
\left(-s^{3}\right)^{3}
(
−
s
3
)
3
\newline
Answer:
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Simplify:
\newline
(
−
9
d
5
)
3
\left(-9 d^{5}\right)^{3}
(
−
9
d
5
)
3
\newline
Answer:
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Simplify:
\newline
(
−
2
y
5
)
(
2
y
4
)
\left(-2 y^{5}\right)\left(2 y^{4}\right)
(
−
2
y
5
)
(
2
y
4
)
\newline
Answer:
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Simplify:
\newline
(
k
5
)
(
9
k
2
)
\left(k^{5}\right)\left(9 k^{2}\right)
(
k
5
)
(
9
k
2
)
\newline
Answer:
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Simplify the expression completely.
\newline
2
49
+
−
64
+
−
36
2 \sqrt{49}+\sqrt{-64}+\sqrt{-36}
2
49
+
−
64
+
−
36
\newline
Answer:
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Fully simplify.
\newline
4
y
2
(
−
2
x
4
y
5
)
4 y^{2}\left(-2 x^{4} y^{5}\right)
4
y
2
(
−
2
x
4
y
5
)
\newline
Answer:
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Fully simplify.
\newline
−
3
x
5
y
4
(
2
y
3
)
-3 x^{5} y^{4}\left(2 y^{3}\right)
−
3
x
5
y
4
(
2
y
3
)
\newline
Answer:
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Fully simplify.
\newline
−
2
x
4
y
3
(
x
y
)
-2 x^{4} y^{3}(x y)
−
2
x
4
y
3
(
x
y
)
\newline
Answer:
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Fully simplify.
\newline
3
x
4
(
−
2
x
4
y
2
)
3 x^{4}\left(-2 x^{4} y^{2}\right)
3
x
4
(
−
2
x
4
y
2
)
\newline
Answer:
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Fully simplify.
\newline
−
11
x
4
y
2
(
−
16
x
5
)
-11 x^{4} y^{2}\left(-16 x^{5}\right)
−
11
x
4
y
2
(
−
16
x
5
)
\newline
Answer:
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Fully simplify.
\newline
−
14
y
(
13
x
5
y
5
)
-14 y\left(13 x^{5} y^{5}\right)
−
14
y
(
13
x
5
y
5
)
\newline
Answer:
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Fully simplify.
\newline
−
5
x
3
y
5
(
x
5
y
)
-5 x^{3} y^{5}\left(x^{5} y\right)
−
5
x
3
y
5
(
x
5
y
)
\newline
Answer:
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Fully simplify.
\newline
−
2
x
5
y
2
(
−
14
y
2
)
-2 x^{5} y^{2}\left(-14 y^{2}\right)
−
2
x
5
y
2
(
−
14
y
2
)
\newline
Answer:
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Fully simplify.
\newline
−
12
x
5
y
(
−
6
x
2
y
)
-12 x^{5} y\left(-6 x^{2} y\right)
−
12
x
5
y
(
−
6
x
2
y
)
\newline
Answer:
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Fully simplify.
\newline
4
x
4
y
2
(
−
7
x
5
y
)
4 x^{4} y^{2}\left(-7 x^{5} y\right)
4
x
4
y
2
(
−
7
x
5
y
)
\newline
Answer:
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Fully simplify.
\newline
4
x
4
y
2
(
4
x
y
4
)
4 x^{4} y^{2}\left(4 x y^{4}\right)
4
x
4
y
2
(
4
x
y
4
)
\newline
Answer:
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Fully simplify.
\newline
−
13
x
3
y
2
(
x
3
y
4
)
-13 x^{3} y^{2}\left(x^{3} y^{4}\right)
−
13
x
3
y
2
(
x
3
y
4
)
\newline
Answer:
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Fully simplify.
\newline
16
x
5
y
5
(
9
y
4
)
16 x^{5} y^{5}\left(9 y^{4}\right)
16
x
5
y
5
(
9
y
4
)
\newline
Answer:
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Factor
125
v
3
−
c
3
125 v^{3}-c^{3}
125
v
3
−
c
3
completely.
\newline
Answer:
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Factor
125
d
3
−
t
3
125 d^{3}-t^{3}
125
d
3
−
t
3
completely.
\newline
Answer:
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Factor
125
n
3
−
8
m
3
125 n^{3}-8 m^{3}
125
n
3
−
8
m
3
completely.
\newline
Answer:
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Factor
125
n
3
−
1
125 n^{3}-1
125
n
3
−
1
completely.
\newline
Answer:
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Factor
8
w
3
+
n
3
8 w^{3}+n^{3}
8
w
3
+
n
3
completely.
\newline
Answer:
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Factor
64
v
3
−
1
64 v^{3}-1
64
v
3
−
1
completely.
\newline
Answer:
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Factor
1
−
p
3
1-p^{3}
1
−
p
3
completely.
\newline
Answer:
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Solve the linear equation. Be sure to check your solution.
\newline
7
6
=
−
4
9
t
\frac{7}{6}=-\frac{4}{9} t
6
7
=
−
9
4
t
\newline
The solution set is
□
\square
□
.
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Find the
7
5
th
75^{\text {th }}
7
5
th
term of the arithmetic sequence
13
,
33
,
53
,
…
13,33,53, \ldots
13
,
33
,
53
,
…
\newline
Answer:
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Multiply.
\newline
10
x
(
10
x
2
−
3
)
10 x\left(10 x^{2}-3\right)
10
x
(
10
x
2
−
3
)
\newline
Answer:
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Multiply.
\newline
x
2
(
−
3
x
2
+
7
x
)
x^{2}\left(-3 x^{2}+7 x\right)
x
2
(
−
3
x
2
+
7
x
)
\newline
Answer:
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Multiply.
\newline
x
2
(
−
7
x
2
+
5
x
)
x^{2}\left(-7 x^{2}+5 x\right)
x
2
(
−
7
x
2
+
5
x
)
\newline
Answer:
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Multiply.
\newline
9
(
−
x
2
−
2
)
9\left(-x^{2}-2\right)
9
(
−
x
2
−
2
)
\newline
Answer:
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Multiply.
\newline
x
(
−
5
x
2
−
3
x
+
5
)
x\left(-5 x^{2}-3 x+5\right)
x
(
−
5
x
2
−
3
x
+
5
)
\newline
Answer:
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Multiply.
\newline
x
2
(
−
10
x
+
6
)
x^{2}(-10 x+6)
x
2
(
−
10
x
+
6
)
\newline
Answer:
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Fully simplify.
\newline
(
−
6
x
2
y
4
)
4
\left(-6 x^{2} y^{4}\right)^{4}
(
−
6
x
2
y
4
)
4
\newline
Answer:
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