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(81x power 4/y power -8) whole power 1/4 has simplified value equal to Option is (a) XY square . (b) X square Y. (c) 9XY square . (d) none of theses?
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(81x power 4/y power -8) whole power 1/4 has simplified value equal to...
Solution:

Given expression is: (81x^4/y^-8)^(1/4)

Let's simplify this expression step by step.

Step 1: Simplify the expression inside the bracket using the laws of exponents.

(81x^4/y^-8) = (3^4 x^4)/(y^-8) = (3^4 x^4)/(1/y^8) = 3^4 x^4 y^8

Step 2: Substitute the simplified expression inside the bracket back into the original expression.

(3^4 x^4 y^8)^(1/4) = (3^(4/4) x^(4/4) y^(8/4)) = (3x^1 y^2) = 3xy^2

Therefore, the simplified value of the given expression is 3xy^2.

Hence, the correct option is (b) X square Y.

Answer: X square Y.
Community Answer
(81x power 4/y power -8) whole power 1/4 has simplified value equal to...
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(81x power 4/y power -8) whole power 1/4 has simplified value equal to Option is (a) XY square . (b) X square Y. (c) 9XY square . (d) none of theses?
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