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If a and b are positive integers, then 3^a+b × 6^a =

A. 18^2a+b

B. 18^a(a+b)

C. 3^6(2a+b)

D. 9^a+b · 2^a

E. 3^2a+b · 2^a

Rewrite 6^a as (3 · 2)^a. Then use the laws of exponents:
3^a+b · (3 · 2)^a
= 3^a+b · 3^a · 2^a
= (3^a+b · 3^a) · 2^a
= 3^2a+b · 2^a

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Question Details

Taken: 19 times

Added: 11/19/2008

Liked: 1 time

Taggged: Math, SAT

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Founded by OmegaMoo

This is a 20 question exam to help you study for the Math section of the SAT.

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