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Let’s check out your problem:
Simplify. Express your answer as a single term using exponents.
\newline
12
4
5
12
4
8
\frac{124^5}{124^8}
12
4
8
12
4
5
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Math Problems
Algebra 1
Simplify radical expressions: mixed review
Full solution
Q.
Simplify. Express your answer as a single term using exponents.
\newline
12
4
5
12
4
8
\frac{124^5}{124^8}
12
4
8
12
4
5
Identify base and exponents:
Step
1
1
1
: Identify the base and exponents in the expression.
\newline
We have
12
4
5
124^5
12
4
5
in the numerator and
12
4
8
124^8
12
4
8
in the denominator.
Apply quotient of powers:
Step
2
2
2
: Apply the quotient of powers property. The property states that
a
m
/
a
n
=
a
(
m
−
n
)
a^m / a^n = a^{(m-n)}
a
m
/
a
n
=
a
(
m
−
n
)
. Here,
a
=
124
a = 124
a
=
124
,
m
=
5
m = 5
m
=
5
, and
n
=
8
n = 8
n
=
8
.
Subtract exponents:
Step
3
3
3
: Subtract the exponents.
12
4
(
5
−
8
)
=
12
4
−
3
124^{(5-8)} = 124^{-3}
12
4
(
5
−
8
)
=
12
4
−
3
.
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