Question

evaluate: (9/64)^1/2

Answer 1

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

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

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

Answer 2

The value of the expression is 3/8.

What is simplification of an expression?

Simplification of an expression is the process of writing an expression in the most efficient and compact form without affecting the value of the original expression.

For the given situation,

The expression is (9/64)^1/2

⇒ $(\frac{9}{64} )^{\frac{1}{2} }$

⇒ $\sqrt{\frac{9}{64} }$

⇒ $\sqrt{\frac{(3)(3)}{(8)(8)} }$

⇒ $\sqrt{\frac{3^{2} }{8^{2} } }$

⇒ $\frac{3}{8}$

Hence we can conclude that the value of the expression is 3/8.

Learn more about simplification of an expression here

https://brainly.com/question/13730519

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