Question

Which one of the following expressions is equivalent to ${10}^{10}÷{10}^5$?

• A. ${10}^2$
• B. ${10}^5$
• C. ${10}^{15}$
• D. ${10}^6$

Answer 1

The correct option is B ${10}^5$

Given expression: ${10}^{10}÷{10}^5$

We can solve this by using the laws of exponents.

We know, $a^m÷a^n$ = $a^{m-n}$

$\therefore {10}^{10}÷{10}^5$ = ${10}^{10-5}$
= ${10}^5$