Question

Select the equivalent expression to the following expression:
${10}^9\times {10}^{-6}$

• A. ${10}^2$
• B. ${10}^3$
• C. ${10}^{15}$
• D. ${10}^{-3}$

Answer 1

The correct option is B ${10}^3$

Given expression is ${10}^9\times {10}^{-6}$

We can solve this by using the laws of exponents.

We know, $a^m\times a^n$ = $a^{m+n}$

$\therefore$ ${10}^9\times {10}^{-6}$
= ${10}^{9+(-6)}$
= ${10}^{9-6}$
= ${10}^3$