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Let’s check out your problem:
Simplify. Express your answer using positive exponents.
\newline
9
g
5
3
g
5
\frac{9g^5}{3g^5}
3
g
5
9
g
5
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Math Problems
Algebra 1
Simplify exponential expressions using the multiplication rule
Full solution
Q.
Simplify. Express your answer using positive exponents.
\newline
9
g
5
3
g
5
\frac{9g^5}{3g^5}
3
g
5
9
g
5
Simplify Expression:
Simplify the expression by dividing the coefficients and subtracting the exponents of like bases.
\newline
Calculation:
9
g
5
3
g
5
=
9
3
⋅
g
5
−
5
\frac{9g^5}{3g^5} = \frac{9}{3} \cdot g^{5-5}
3
g
5
9
g
5
=
3
9
⋅
g
5
−
5
Calculate Division:
Calculate the division of the coefficients and simplify the exponent.
\newline
Calculation:
9
3
=
3
\frac{9}{3} = 3
3
9
=
3
and
g
5
−
5
=
g
0
g^{5-5} = g^0
g
5
−
5
=
g
0
Recall Exponent Rule:
Recall that any non-zero number raised to the power of
0
0
0
is
1
1
1
.
\newline
Calculation:
g
0
=
1
g^0 = 1
g
0
=
1
Combine Results:
Combine the results to get the final simplified expression.
\newline
Calculation:
3
⋅
1
=
3
3 \cdot 1 = 3
3
⋅
1
=
3
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\newline
Express your answer using positive exponents.
\newline
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⋅
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8
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⋅
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Simplify. Express your answer using a single exponent.
\newline
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\newline
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Question
Simplify. Express your answer using positive exponents.
\newline
(
9
p
5
)
(
5
p
8
)
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9
p
5
)
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Simplify. Express your answer using positive exponents.
\newline
(
2
v
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v
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Question
Simplify. Express your answer using a single exponent.
\newline
(
5
z
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)
2
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(
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z
8
)
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\newline
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Posted 9 months ago
Question
Simplify. Express your answer using positive exponents.
\newline
r
9
⋅
r
8
⋅
r
-
5
r^9 \cdot r^8 \cdot r^{\text{-}5}
r
9
⋅
r
8
⋅
r
-
5
\newline
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Posted 9 months ago
Question
Which expression is equivalent to
6
×
6
8
6 \times 6^8
6
×
6
8
?
\newline
Choices:
\newline
1
6
9
\frac{1}{6^9}
6
9
1
\newline
6
8
6^8
6
8
\newline
1
6
8
\frac{1}{6^8}
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8
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\newline
6
9
6^9
6
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