Answer:
[tex]8^7[/tex]
Step-by-step explanation:
[tex] \dfrac{8^{15}}{8^7 \cdot 8} = [/tex]
Remember that [tex] 8 = 8^1 [/tex].
[tex] = \dfrac{8^{15}}{8^7 \cdot 8^1} [/tex]
When you multiply powers with the same base, add the exponents. Do this in the denominator.
[tex] = \dfrac{8^{15}}{8^{7+1}} [/tex]
[tex] = \dfrac{8^{15}}{8^{8}} [/tex]
When you divide powers with the same base, subtract the exponents.
[tex] = 8^{15-8} [/tex]
[tex] = 8^7 [/tex]
