Question

Match the first column elements with their correct answers given in the second column:

• A. $5$
• B. $1$
• C. $\frac{1}{64}$
• D. $9$

Answer 1

$\underset{–}{\text{Note:}}\frac{a^m}{a^n}=a^{m-n}$


$\bullet \frac{5^4}{5^3}=5^{4-3}=5^1=5$

$\bullet \frac{6^5}{6^5}=6^{5-5}=6^0=1$

$\bullet \frac{4^4}{4^7}=4^{4-7}=4^{-3}=\frac{1}{4^3}=\frac{1}{64}$

$\bullet \frac{3^6}{3^4}=3^{6-4}=3^2=9$