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suter [353]
3 years ago
13

If 2^5/2^a= 2^2, then a=

Mathematics
1 answer:
kodGreya [7K]3 years ago
5 0

Answer: 3

Step-by-step explanation:

\frac{2^5}{2^a}=2^2

Multiply by 2^a

2^a*\frac{2^5}{2^a}=2^2*2^a

2^5=2^2*2^a

Divide by 2^2 to isolate 2^a

\frac{2^5}{2^2}=\frac{2^2*2^a}{2^2}

2^3=2^a

Since we have the same base (2), we equal their exponents.

3=a

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