Question

find the value of (81)^-3/4

Answer 1

(81)^-¾
(3⁴)^-¾
3⁴*-¾
3^-3
1/3^3
1/27answer

Answer 2

${81}^{ \frac{ - 3}{4} }$

$= ( { {3}^{4} )}^{ \frac{ - 3}{4} }$

Now, using identity (a^m)^n = a^mn, we get,

$= {3}^{4 \times \frac{ - 3}{4} }$

$= {3}^{ - 3}$

Using identity a^-1 = 1/a^1

$= \frac{1}{ {3}^{3} }$

$= \frac{1}{27}$

$\red{Hence,\: your\: answer \: 1/27}$

Hope it helps you. ;-)