9514 1404 393
Answer:
m = -3
Step-by-step explanation:
The applicable rule of exponents is ...
(a^b)(a^c) + a^(b+c)
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[tex](-3)^{m+2}\times(-3)^5=(-3)^4\\\\(-3)^{m+2+5}=(-3)^4\\\\m+7=4 \qquad\text{equate exponents}\\\\\boxed{m=-3} \qquad\text{subtract 7}[/tex]
