Question

Determining the Value of a Fractional Base
Rochelle used these steps to evaluate the power.

(−
3
4
) 3
1. Identify the base: −
3
4
1. Determine the exponent: 3
3. Write in expanded form: (−
3
4
) (−
3
4
) (−
3
4
)
What is the value of the power?

Negative StartFraction 9 Over 12 EndFraction
Negative StartFraction 27 Over 64 EndFraction
StartFraction 9 Over 12 EndFraction
StartFraction 27 Over 64 EndFraction

Answer 1

(−3/4)^3 = (−3/4)(−3/4)(−3/4). Multiply numerators and denominators: −(3·3·3)/(4·4·4) = −27/64.

Answer: Negative 27/64.