Question

directions: simplify. write answer in standard form.

1. $\frac{8^{9}}{8^{7}}$

Explanation:

Step1: Apply exponent - division rule

Use the rule $\frac{a^m}{a^n}=a^{m - n}$, where $a = 8$, $m = 9$, and $n = 7$. So, $\frac{8^9}{8^7}=8^{9 - 7}$.

Step2: Calculate the exponent

$9-7 = 2$, so $8^{9 - 7}=8^2$.

Step3: Evaluate the power

$8^2=8\times8 = 64$.

Answer:

64