## anonymous one year ago Which of the following would be equivalent to 9^2 ⋅ 9^6? A 9 to the 8th power over 9 to the 7th power B 9^2 ⋅ 9^7 C 9 to the 10th power over 9 to the 2nd power D 9^0

1. anonymous

@Music_me

2. anonymous

goth rapunzel ._.

3. anonymous

Mm, Can you help?

4. anonymous

sure

5. butterflydreamer

when multiply numbers with the same base, we ADD the exponent (power) :) Use this exponent rule: |dw:1433339245691:dw|

6. anonymous

9^8

7. butterflydreamer

yep :) Now look at your options, which one would give you 9^8? Hint: When DIVIDING numbers with the same base, we SUBTRACT the exponent (power)|dw:1433339377877:dw|

8. butterflydreamer

are you stuck?

9. anonymous

The first one.

10. butterflydreamer

not quite... first option says "9^8/9^7" This means:|dw:1433339732173:dw|

11. anonymous

None of the options say that @butterflydreamer

12. butterflydreamer

13. anonymous

8.

14. butterflydreamer

it would equal to 9^8 which is what we want.. therefore you have your answer :)