Question

find the value of (81)½​

Answer 1

Answer:

it is 9....plse mark as BRAINLIEST...plse...

Answer 2

Answer:

The value of the given term is 9.

Step-by-step explanation:

Given term is

${81}^{ \frac{1}{2} }$

First we need to break 81 into prime numbers.

So,

$81 = 3 \times 3 \times 3 \times 3 = {3}^{4}$

Now,${81}^{ \frac{1}{2} } = {( {3}^{4}) }^{ \frac{1}{2} }$

$= {3}^{4 \times \frac{1}{2} }$

$= {3}^{2}$

$= 9$

Required value of the given term is 9.

Here applied formula is

${x}^{ {y}^{a} } = {x}^{ya}$

This is a problem of power of indices. Some other formulas of power of indices are

${x}^{0} = 1$

${x}^{1} = x$

${x}^{ - 1} = \frac{1}{x}$

${x}^{y} \times {x}^{a} = {x}^{y + a}$

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

$\sqrt[x]{y} = {y}^{ \frac{1}{x} }$

${x}^{ - y} = \frac{1}{ {x}^{y} }$