Question

(0.01)^–0.5 = ______.

Options

• 1

• 10

• `1/10`

• `1/100`

Answer 1

(0.01)^–0.5 = 10.

Explanation:

We are given the expression:

(0.01)^–0.5 

Step 1: Rewrite 0.01 as a power of 10

We know that:

0.01 = 10^–2

Step 2: Substitute and simplify

Now we can rewrite the expression as:

(10^–2)^–0.5 

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

`(10^-2)^(-0.5)`

= `10^(-2 xx -0.5)`

= 10¹

Step 3: Final result

10¹ = 10

Thus, the value of (0.01)^–0.5 is 10.