Find 2^2(A + B)

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2^ᴬ = 3 and 2^ᴮ = 5, then
2^2(ᴬ + ᴮ) =

A. 11

B. 30

C. 45

D. 75

E. 225

How is this done?

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@blueridge,

You use the rule that 2(ᴬ + ᴮ)=(2^ᴬ)(2^ᴮ)

Does that help? I think your problem is not 2^2(ᴬ + ᴮ), it is 2 x 2(ᴬ + ᴮ)

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@engineer,

In that case, we have the following:

2•[2^(A+B)]

2•[2^(A)•2^(B)]

2•[3 • 5]

2(15)

Answer: 30

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