Answer: [tex](-3)^3[/tex]
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Explanation:
We'll keep the base the same, but subtract the exponents. The rule I'm referring to is [tex]\frac{a^b}{a^c} = a^{b-c}[/tex]
So we keep the -3 the same, but subtract the exponents to get 4-1 = 3
Therefore, [tex]\frac{(-3)^4}{(-3)^1} = (-3)^{4-1} = (-3)^3[/tex]
Optionally we can expand out [tex](-3)^3[/tex] to get [tex](-3)^3 = (-3)*(-3)*(-3) = -27[/tex], but your teacher has instructed you to keep the answer as a power. This is another way of saying to write the answer as an exponential like I've done at the top.
