Question

(81)^0.25 = ______.

Options

• 3

• 9

• `1/3`

• `1/9`

Answer 1

(81)^0.25 = 3.

Explanation:

We are given the expression:

(81)^0.25 

Step 1: Express 81 as a power of 3

We know that:

81 = 3⁴

Step 2: Substitute and simplify

Now we can rewrite the expression as:

(81)^0.25 = (3⁴)^0.25

Using the property of exponents `(a^m)^n = a^(m xx n)`, we get:

`(3^4)^0.25 = 3^(4 xx 0.25) = 3^1`

Step 3: Final result

3¹ = 3

Thus, the value of (81)^0.25 is 3.