Question

Select the expression that is equivalent to ${10}^5\times {10}^7$.

• A. ${10}^{-2}$
• B. ${10}^2$
• C. ${10}^{12}$
• D. ${10}^{35}$

Answer 1

The correct option is C ${10}^{12}$

Given expression is ${10}^5\times {10}^7$.

We can solve this by using the laws of exponents.

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

$\therefore {10}^5\times {10}^7={10}^{5+7}$
$={10}^{12}$