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Simplify. a2xa6

assume that no variable equals 0

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Crystal G. | Bilingual Math/Spanish Ivy League Tutor o' AwesomenessBilingual Math/Spanish Ivy League Tutor ...
5.0 5.0 (35 lesson ratings) (35)

If the problem says a2 x a6, then that is the same thing as having 2 a's being multiplied by each other, and then being multiplied by 6 a's, so
(a • a)(a • a • a • a • a • a) = a8

In general when you are multiplying two numbers that have the same base, you can keep the base and add their exponents. 
So a2 • a6 = a2+6 = a8.


Kristin C. | Proven GMAT and ACT TutorProven GMAT and ACT Tutor
5.0 5.0 (101 lesson ratings) (101)

2a multiplied by 6a = 2*6*a*a=12a^2