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Welcome to Bytelearn!
Let’s check out your problem:
Write the expression as a
fraction
with a positive exponent.
\newline
1
c
3
\frac{1}{c^3}
c
3
1
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Math Problems
Algebra 1
Simplify exponential expressions using exponent rules
Full solution
Q.
Write the expression as a fraction with a positive exponent.
\newline
1
c
3
\frac{1}{c^3}
c
3
1
Understand the problem:
Understand the problem.
\newline
We need to convert the expression with a negative exponent into a fraction with a positive exponent.
Apply negative exponent rule:
Apply the
negative exponent rule
.
\newline
The negative exponent rule states that
a
−
n
=
1
a
n
a^{-n} = \frac{1}{a^n}
a
−
n
=
a
n
1
. We will apply this rule to
c
−
3
c^{-3}
c
−
3
.
Convert the expression:
Convert the expression.
\newline
Using the rule from Step
2
2
2
, we can write
c
−
3
c^{-3}
c
−
3
as
1
/
(
c
3
)
1/(c^3)
1/
(
c
3
)
.
Check the result:
Check the result.
\newline
The expression
1
c
3
\frac{1}{c^3}
c
3
1
has a positive exponent, as required. There are no math errors in the conversion process.
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