Question

Choose the correct simplification of the expression:

the quantity a to the 3rd power over b to the 7th power all raised to the 2nd power.

A.) a to the 5th power over b to the 9th power
B.) a over b to the 14th power
C.) a to the 6th power over b to the 14th power
D.) a^6b^14

Answer 1

The answer is C.) a to the 6th power over b to the 14th power

The exponents in the formula simply need to be multiplied to the exponent outside the formula. Since a's exponent is 3 and b's is 7, both are multiplied by 2 and you get letter C.

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