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If a,b and c are real numbers and if a^(...

If a,b and c are real numbers and if `a^(5)b^(3)c^(8)=(9a^(3)c^(8))/(b^(-3))`, then a could equal

A

`(1)/(9)`

B

`(1)/(3)`

C

9

D

3

Text Solution

Verified by Experts

The correct Answer is:
D
Since `b^(3)=(1)/(b^(-3))`, divide out `b^(3)c^(8)`, leaving `a^(5)=9a^(3)`. Therefore `a=+-3`.
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