Question

1. true or false: $27^{\frac{3}{4}} = 81$. a. true b. false $sqrt4{27^{3}}$

Explanation:

Step1: Rewrite base as power of 3

$27 = 3^3$, so $27^{\frac{4}{3}} = (3^3)^{\frac{4}{3}}$

Step2: Simplify exponent using power rule

Use $(a^m)^n = a^{m \times n}$:
$3^{3 \times \frac{4}{3}} = 3^4$

Step3: Calculate final value

$3^4 = 81$

Answer:

A. True