Question

Which statements apply to the expression (3/5^3) cubed? Check all that apply.

Answer 1

The true statements are

3/5 is the base

3 is the exponent

(3/5)³ = 3/5 × 3/5 × 3/5

(3/5)³ = 27/125

Explanation:

Let a and b be any integer, given the expression;

`a^b`

a is the base

b is the exponent

Similarly if we have;

`a^3`

This means we can multiply a in three places as shown;

`a^3 = a * a * a`

Applying this to the given expression

`((3)/(5) )^3 = (3)/(5) * (3)/(5) * (3)/(5) \\Also\\((3)/(5) )^3 = (3 * 3 * 3)/(5 * 5 * 5) \\((3)/(5) )^3 = (27)/(125)`

The base value will be 3/5 and the exponent is 3