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Let’s check out your problem:
Simplify. Express your answer using positive exponents.
\newline
10
b
7
5
b
⋅
b
6
\frac{10b^7}{5b \cdot b^6}
5
b
⋅
b
6
10
b
7
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Math Problems
Algebra 1
Simplify exponential expressions using the multiplication and division rules
Full solution
Q.
Simplify. Express your answer using positive exponents.
\newline
10
b
7
5
b
⋅
b
6
\frac{10b^7}{5b \cdot b^6}
5
b
⋅
b
6
10
b
7
Rewrite expression:
First, rewrite the expression to make it easier to simplify.
\newline
10
b
7
5
b
⋅
b
6
\frac{10b^7}{5b \cdot b^6}
5
b
⋅
b
6
10
b
7
can be rewritten as
10
b
7
5
b
7
\frac{10b^7}{5b^7}
5
b
7
10
b
7
.
Simplify coefficients and powers:
Next, simplify the coefficients and the powers of
b
b
b
.
10
5
=
2
\frac{10}{5} = 2
5
10
=
2
and
b
7
/
b
7
=
b
7
−
7
=
b
0
=
1
b^7/b^7 = b^{7-7} = b^0 = 1
b
7
/
b
7
=
b
7
−
7
=
b
0
=
1
.
Multiply coefficients and powers:
Multiply the simplified coefficients and powers of
b
b
b
.
2
×
1
=
2
2 \times 1 = 2
2
×
1
=
2
.
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Simplify. Express your answer using positive exponents.
\newline
r
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Question
Which expression is equivalent to
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\newline
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