Simplify 2² × 2^7 ÷ 2^4

Correct Answer is : 25\; \; 2^525

Correct Answer is : 25\; \; 2^525

BECE Mathematics 2020 Paper

Question : 39

Total: 40

2^2 \times 2^7 \div 2^4

Solution:

Concept:

Use the laws of exponents for the same base: multiplication adds powers and division subtracts powers.

Solution:

First, multiply

2^2

and

2^7

by adding the exponents.

2^2 \times 2^7 = 2^{2+7} = 2^9

Now, divide

2^9

2^4

by subtracting the exponents.

2^9 \div 2^4 = 2^{9-4} = 2^5

Thus, the entire expression simplifies to

2^5

Answer:

Option B (

2^5

)

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