Question

Which expression is equivalent to the following?
(
a
2
)
5
b
7
2
a
4
(
b
2
)
3

Select one answer
A
a
6
2
b

B
a
6
b

C
a
6
b
2

D
a
3
b
2
2

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Answer 1

Simplify step-by-step:

- (a^2)^5 = a^(2·5) = a^10
- (b^2)^3 = b^(2·3) = b^6
- Combine and divide: (a^10 b^7) / (2 a^4 b^6) = a^(10−4) b^(7−6) / 2 = (a^6 b) / 2

So the equivalent expression is (a^6 b)/2 — answer A.