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Solve using fractional law exponent rule

Solve using fractional law exponent rule-example-1
User Kazenorin
by
6.8k points

1 Answer

1 vote

Answer:

We conclude that:


\sqrt[5]{8^3}=8^{(3)/(5)}

Explanation:

Given

We are given the expression


\sqrt[5]{8^3}

To determine

Solve using fractional law exponent rule

Given the expression


\sqrt[5]{8^3}

Apply radical rule:
\sqrt[n]{a}=a^{(1)/(n)}


\sqrt[5]{8^3}=\left(8^3\right)^{(1)/(5)}

Apply exponent rule:
\left(a^b\right)^c=a^(bc)


=8^{3\cdot (1)/(5)}

Multiply the exponent: 3 Ă— 1/5 = 3/5


=8^{(3)/(5)}

Therefore, we conclude that:


\sqrt[5]{8^3}=8^{(3)/(5)}

User Rigi
by
6.2k points
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