Question

express -64/125 in exponential form.

Answer 1

-64/125 = (-2³)²/5³  (exponential form)

Answer 2

Answer:

$-\frac{64}{125}=-(\frac{2^2}{5})^3$

Step-by-step explanation:

Given : Expression $-\frac{64}{125}$

To find : Express the expression in exponential form ?

Solution :

Exponential form is a way of writing a number into power form.

First we factor the numerator and denominator in the expression,

$-\frac{64}{125}=-\frac{2\times 2\times 2\times 2\times 2\times 2}{5\times 5\times 5}$

$-\frac{64}{125}=-\frac{2^6}{5^3}$

or $-\frac{64}{125}=-\frac{(2^2)^3}{5^3}$

$-\frac{64}{125}=-(\frac{2^2}{5})^3$

The required exponential form $-\frac{64}{125}=-(\frac{2^2}{5})^3$