Question

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$8^7 \div 8^5 =$
(choose all that apply)
select all correct options.

1. $8^{(7 - 5)}$
2. $\frac{8 \times 8 \times 8 \times 8 \times 8 \times 8 \times 8}{8 \times 8 \times 8 \times 8 \times 8}$ (checked)
3. $8^2$
4. $7 - 5$

Explanation:

Step1: Apply exponent division rule

For same bases, $a^m \div a^n = a^{m-n}$. Here, $a=8$, $m=7$, $n=5$, so $8^7 \div 8^5 = 8^{7-5}$.

Step2: Simplify the exponent

Calculate $7-5=2$, so $8^{7-5}=8^2$.

Step3: Verify expanded form

$8^7 = 8 \times 8 \times 8 \times 8 \times 8 \times 8 \times 8$ and $8^5 = 8 \times 8 \times 8 \times 8 \times 8$, so $\frac{8^7}{8^5} = \frac{8 \times 8 \times 8 \times 8 \times 8 \times 8 \times 8}{8 \times 8 \times 8 \times 8 \times 8}$.

Answer:

A. $8^{(7-5)}$
B. $\frac{8 \times 8 \times 8 \times 8 \times 8 \times 8 \times 8}{8 \times 8 \times 8 \times 8 \times 8}$
C. $8^2$