Verified Answer :

If your question is :
\(\frac{4}{7^3}\)

Then the answer is:
\(\frac{4}{7*7*7} = \frac{4}{343}\)

If your question is:
\((\frac{4}{7}) ^{3}\)

Then the answer is:
\(\frac{4*4*4}{7*7*7} = \frac{64}{343}\)

Answer:

\(\frac{64}{343}\)

Step-by-step explanation:

The given expression is

\((\frac{4}{7})^3\)

We need to find the simplified form of the given expression.

Using the distributive power property of exponent the given expression can be rewritten as

\((\frac{4}{7})^3=\frac{4^3}{7^3}\)           \([\because(\frac{a}{b})^x=\frac{a^x}{b^x}]\)

In can be written as

\((\frac{4}{7})^3=\frac{4\times 4\times 4}{7\times 7\times 7}\)

On further simplification we get

\((\frac{4}{7})^3=\frac{64}{343}\)

Therefore the simplified form of the given expression is \(\frac{64}{343}\).

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