Question

(81)^0.18 × (81)^0.07 is equal to ______.

Options

• 9

• 3

• 27

• 81

Answer 1

(81)^0.18 × (81)^0.07 is equal to 3.

Explanation:

The expression is (81)^0.18 × (81)^0.07.

Using the property of exponents: a^m × aⁿ = a^{m + n},

`(81)^(0.18) xx (81)^(0.07) = (81)^(0.18 + 0.07)`

`(81)^(0.18) xx (81)^(0.07) = (81)^(0.25)`

Now, 81 = 3⁴,

So, `(81)^(0.25) = (3^4)^(0.25)` 

`(81)^(0.25) = 3^(4 xx 0.25)` 

(81)^0.25 = 3¹ 

(81)^0.25 = 3

Hence, the value is 3.