Question

(81x^4/y^-8)1/4 has simplified value equal to(using indices)

Answer 1

$81{x}^{4} \div {y}^{ - 8} \times {4}^{ - 1}$
${(9x)}^{2} \times {y}^{8} \div {2}^{ 2}$
${( 9x \times {y}^{4} \div {2})}^{2}$

Answer 2

The simplified value of the given expression is 8xy².

Step-by-step explanation:

Given expression,

$(81x^{4}\div y^{-8})^\frac{1}{4}\\\\\\=> (81x^{4\times\frac{1}{4}} \div y^{-8\times \frac{1}{4}})\\\\\\=> (81x \div y^{-2})\\\\\\=> 81xy^{2}$

Hence, the simplified value of the given expression is 8xy².