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Verified Answer :

Answer:

option (c) is correct.

Given expression \((7^{-5})^3\) is equal to  \((\frac{1}{7})^{15}\)

Step-by-step explanation:

Given expression \((7^{-5})^3\)

We have to choose a correct option from the given option that is equal to the given expression.

Consider the given expression \((7^{-5})^3\)

Using property of exponents \(a^{-m}=(\frac{1}{a} )^m\) , we have,

\((7^{-5})^3=((\frac{1}{7})^5)^3\)

Again using property of exponents \((a^m)^n=a^{m\cdot n}\) , we have,

\(((\frac{1}{7})^5)^3=(\frac{1}{7})^{5\cdot 3}=(\frac{1}{7})^{15}\)

Thus, option (c) is correct.

Given expression \((7^{-5})^3\) is equal to  \((\frac{1}{7})^{15}\)

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