Question

What is the simplified form of the following expression? 4/7^3

Answer 1

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 2

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 $\frac{64}{343}$.