Question

1. Simplify, (81)^1/4
​

Answer 1

(81)¼ = (3⁴)¼

= 3 ⁴x¼ ( a^m)^n = a^mn

=3

PLS MARK AS BRAINLIST ANSWER....

Answer 2

$\displaystyle \sf{ {(81)}^{ \frac{1}{4} } = 3}$

Given :

$\displaystyle \sf{ {(81)}^{ \frac{1}{4} } }$

To find :

To simplify the expression

Formula :

$\displaystyle \sf{ {( {a}^{m} )}^{n} = {a}^{mn} }$

Solution :

Step 1 of 2 :

Write down the given expression

The given expression

$\displaystyle \sf{ = {(81)}^{ \frac{1}{4} } }$

Step 2 of 2 :

Simplify the given expression

$\displaystyle \sf{ {(81)}^{ \frac{1}{4} } }$

$\displaystyle \sf{ = {( {3}^{4} )}^{ \frac{1}{4} } }$

$\displaystyle \sf{ = {( {3}^{} )}^{ 4 \times \frac{1}{4} } } \: \: \bigg( {( {a}^{m} )}^{n} = {a}^{mn} \bigg)$

$\displaystyle \sf{ = {( {3}^{} )}^{ 1 } }$

$\displaystyle \sf{ = 3}$

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