Question

What is the simplified form of the following expression?

4/7^3

A: 343/64
B: 21,952
C:407
D: 64/343

Answer 1

(4/7)³= 4³/7³

Evaluate the exponents
4³= 64
7³= 343

Final answer: 64/343

Answer 2

The correct option is D.

Explanation:

The given expression is

`((4)/(7))^3`

According to the property of exponent.

`((a)/(b))^n=(a^n)/(b^n)`

Using this property the given expression can be written as

`((4)/(7))^3=(4^3)/(7^3)`

`((4)/(7))^3=(64)/(343)`

The simplified form of the given expression is
`(64)/(343)`.

Therefore the correct option is D.