Question

What is the simplified form of the following expression?

Answer 1

(4/7)³= 4³/7³

Evaluate the exponents
4³= 64
7³= 343

Final answer: 64/343

Answer 2

Answer:

The correct option is D.

Step-by-step explanation:

The given expression is

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

According to the property of exponent.

$(\frac{a}{b})^n=\frac{a^n}{b^n}$

Using this property the given expression can be written as

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

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

The simplified form of the given expression is $\frac{64}{343}$.

Therefore the correct option is D.