## anonymous one year ago What is the simplified expression for 4 power 4 multiplied by 4 power 3 over 4 power 5? 40 41 42 43

1. anonymous

help

2. UsukiDoll

3. anonymous

yes @UsukiDoll

4. mathstudent55

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5. mathstudent55

|dw:1438122700062:dw|

6. UsukiDoll

ok. so we need to use two exponent rules for this problem $\large a^M \cdot a^N =a^{M+N}$ $\large \frac{a^M}{a^N} = a^{M-N}$

7. UsukiDoll

so using the first exponent rule letting a = 4 m = 4 and n =3 we get $\LARGE \frac{4^{4+3}}{4^5}$

8. UsukiDoll

what is 4 + 3 ?

9. anonymous

7 @UsukiDoll

10. UsukiDoll

ok so now we have $\LARGE \frac{4^{7}}{4^5}$ now using the division/subtraction rule we have $\LARGE 4^{7-5}$ what is 7-5?

11. UsukiDoll

back... my browser went nuts. so what's 7 - 5 ?

12. anonymous

7 @UsukiDoll

13. UsukiDoll

umm no I'm asking what 7 - 5 is it's like you have 7 marbles... I take 5 how many marbles do you have left?

14. anonymous

sorry 2 @UsukiDoll

15. UsukiDoll

^_^ so now we have $\LARGE 4^2$ the exponent has the number 2 and that means to write 4 two times so now we have $\LARGE 4 \times 4$

16. UsukiDoll

I'm stuck in reply mode... -_- OpenStudy is driving me nuts on Opera browser we just have to figure out what 4 x 4 is and we're done.

17. anonymous

16

18. anonymous

@UsukiDoll

19. UsukiDoll

yes! that's the final answer . good job :)