Question

you should $\boldsymbol{square}$ the exponents instead of $\boldsymbol{square}$ them.(b) the correct solution is ___.a $\frac{6^{15}}{6^{5}} = 6^{15cdot5} = 6^{75}$b $\frac{6^{15}}{6^{5}} = 6^{15+5} = 6^{20}$c $\frac{6^{15}}{6^{5}} = 6^{15-5} = 6^{10}$d $\frac{6^{15}}{6^{5}} = 6^{15/5} = 6^{3}$

Explanation:

Step1: Recall exponent division rule

For $\frac{a^m}{a^n}=a^{m-n}$ where $a
eq0$.

Step2: Apply rule to given expression

$\frac{6^{15}}{6^5}=6^{15-5}$

Step3: Calculate the exponent

$6^{15-5}=6^{10}$

Answer:

C. $\frac{6^{15}}{6^{5}} = 6^{15-5} = 6^{10}$

Additionally, for the fill-in blanks: You should subtract the exponents instead of dividing them.