Question

the simplified value of (81)^-1/4* 4√81* (81)^0.2 is​

Answer 1

Step-by-step explanation:

(81)^-1/4* (81)^1/4*(81)^0.5

(81)^(-14+1/4+0.5) as base is equal we can add the exponent

(81)^0.5 as -1/4 and 1/4 in the power gets canceled on addition

(sqrt 81) = 9

Answer 2

Given:

$(81)^{-\frac{1}{4} }$×$4\sqrt{81}$×$(81)^{0.2}$

To find:

The evaluated value

Solution:

We have the above equation as,

$(81)^{-\frac{1}{4} }$×$4\sqrt{81}$×$(81)^{0.2}$

We can rewrite it as follows

$(81)^{-\frac{1}{4}+\frac{1}{4}+0.2}$

Since the base is same, we are allowed to add the exponents directly.

On evaluating the above we get,

$(81)^{0.2}=2.4082$

Hence, after evaluating, we get the multiplied result as 2.4082.