Question

Express this number in standard (decimal number) form. 10-2

Answer 1

Answer:

$10^{-2} = 0.01$

Step-by-step explanation:

Given

$10^{-2$

Required

Standard form

$10^{-2$

Apply the following law of indices

$a^{-b} = \frac{1}{a^b}$

So, we have:

$10^{-2} = \frac{1}{10^2}$

Express $10^2$ as $100$

$10^{-2} = \frac{1}{100}$

Using a calculator, we have:

$10^{-2} = 0.01$