Question

Evaluate: (9/64)^1/2

Answer 1

Answer:

3/8

Step-by-step explanation:

If 1/2 is an exponent, it is essentially taking the square roots of the numbers. When you take the square root of a fraction, you take the roots of both the numerator and denominator.

Answer 2

Answer:

$\frac{3}{8}$

Step-by-step explanation:

Using the rules of exponents

$(a^m)^{n}$ = $a^{mn}$

$a^{\frac{1}{2} }$ = $\sqrt{a}$

Hence

$\frac{9^{\frac{1}{2} } }{64^{\frac{1}{2} } }$

= $\frac{\sqrt{9} }{\sqrt{64} }$ = $\frac{3}{8}$