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Is (2a)b = 2a+b or 2ab ?\Large{\text{Is }\left(2^\color{#D61F06}{a}\right)^{\color{#3D99F6}{b}} \text{ } = \text{ } 2^{\color{#D61F06}{a}+\color{#3D99F6}{b}} \quad \text{ or } \quad 2^{\color{#D61F06}{a}\color{#3D99F6}{b}} \text{ ?}}Is (2a)b = 2a+b or 2ab ?
To see which simplification is correct, you plug in specific numbers a=A\color{#D61F06}{a}=Aa=A and b=B\color{#3D99F6}{b}=Bb=B, but somehow both proposed simplifications give the same answer: 64.64.64. Find (A−B)2.\left(A-B\right)^2.(A−B)2.
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