Question

Which of the following expressions is equivalent to the one shown below?71377OA. 791OB. 720O C. 76O D. 75

Answer 1

Given

$\frac{7^{13}}{7^7}$

Find

Equivalent expression

Explanation

Here , we use laws of exponents

$\frac{a^m}{a^n}=a^{m-n}$

so ,

$\begin{gathered} =\frac{7^{13}}{7^7} \\ \\ =7^{13-7} \\ \\ =7^6 \end{gathered}$

Final Answer

Therefore , the correct option is C