how to do express as a single power
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no idea sorry
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good night
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Basically if I have something like 2² * 3², they're just telling me to write like (number)^(number) i.e a single number raised to an exponent.
So, in my example we know a^m * b^m = (ab)^m, hence 2² * 3² = (2*3)² = 6²; i.e we use the laws of exponents to simplify to get this form.
Now, the solutions to your questions will become,
(a) (xy)³
(b) (xy)ᵃ
(c) (12)ᵃ
(a),(b),(c) all use a^m * b^m = (ab)^m.
(d) This needs one more thing. We can't simply combine them directly.
First we should write 4=2² and 8=2³.
We also know, (a^m)^n = a^mn.
So, 4ᵃ = 2²ᵃ and 8² = 2⁶.
Therefore, we simplify to get 2²ᵃ⁺⁶as the answer.
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