Question

find m so that
[-2]^ m+1*[-2]^3=[-2]^5

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

m = - (13/8)

Step-by-step explanation:

As given

[-2]^ m+1*[-2]^3=[-2]^5

Or

[-2]^ m+1*[-8] = [-2]^5

Or

[-2]^ [-8m-8] = [-2]^5

Now notice that the both sides of the equation are in exponential form.

According to law of exponents:

If bases are equal then their exponents must be equal.

-8m-8 = 5

-8m = 5+8

m = 13/ (-8)

Or

m = - (13/8)

Hope it helps

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