## anonymous 4 years ago Simplify this expression.

1. anonymous

where is the expression?

2. anonymous

$m ^{16} * m ^{6}=$

3. anonymous

m^22

4. Hero

m^(16+6) = m^(22)

5. Hero

General formula: $x^a \times x^b = x^{a+b}$

6. Kainui

Consider the following: $x^2x^3$ So how do we combine these? What's the rule? do we add or multiply the exponents? Take a second to examine it, and you'll realize, hey, this isn't so bad: x^2=x∗x x^3=x∗x∗x so simply, x^2*x^3=x∗x∗x∗x∗x That's just 5 x's multiplied by each other, so knowing that, you know can just add exponents together when you have the same term with different exponents multiplied by each other. If you ever forget, just expand it out like I did to check for yourself.

7. anonymous

But the answer choices are A.$m ^{19}$ B.$m ^{7}$ C.$m ^{18}$ D.$m ^{8}$

8. Hero

E. $m^{22}$

9. anonymous

so it can't be m^22

10. anonymous

There is only a-d

11. Hero

http://www.wolframalpha.com/input/?i=m+%5E%7B16%7D+*+m+%5E%7B6%7D Good luck arguing with a calculator...

12. anonymous

Lol i'm not trying to argue....IT's a multiple choice question..and there isn't 22 on it.

13. TuringTest

are you sure you typed the problem correctly? people often think they are sure when they are not

14. Hero

^I agree

15. anonymous

O.o i'll check :X

16. anonymous

$m ^{13}*m ^{6}=$

17. TuringTest

18. anonymous

m^19

19. anonymous

(: Thank's guys! And thank you TurningTest for pointing that out :D