Please explain your answer. Do not put 9h and 5h in parenthesis.

Hi Andrew;

9h

^{-2}*5h^{10}First, let's consider h

^{-2}* h^{10}-2+10=8

This is h

^{8}9h

^{8}*545h

^{8}Please explain your answer. Do not put 9h and 5h in parenthesis.

Tutors, please sign in to answer this question.

Hi Andrew;

9h^{-2}*5h^{10}

First, let's consider h^{-2} * h^{10}

-2+10=8

This is h^{8}

9h^{8}*5

45h^{8}

The Ruie is when you have two similar numbers (same base), each raised to a power, the product of these (base) numbers raised to their power is the base raised to the sum of e powers.

i.e. (a^{x})*(a^{y}) = a^{(x+y)}

Dana R.

English/Math SAT PrepTutor with PhD

Lynbrook, NY

4.8
(85 ratings)

Michael E.

H.S. Mathematics Tutor (Certified NJ Teacher)

Saddle Brook, NJ

5.0
(131 ratings)

Justin H.

Math, Computer Science, and SAT Tutoring from a Google Engineer

New York, NY

5.0
(417 ratings)