What is the simplified expression for 4 power 4 multiplied by 4 power 3 over 4 power 5? 40 41 42 43

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What is the simplified expression for 4 power 4 multiplied by 4 power 3 over 4 power 5? 40 41 42 43

Mathematics
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ok. so we need to use two exponent rules for this problem \[\large a^M \cdot a^N =a^{M+N}\] \[\large \frac{a^M}{a^N} = a^{M-N}\]
so using the first exponent rule letting a = 4 m = 4 and n =3 we get \[\LARGE \frac{4^{4+3}}{4^5}\]
what is 4 + 3 ?
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?
back... my browser went nuts. so what's 7 - 5 ?
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?
sorry 2 @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 \[\LARGE 4 \times 4 \]
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.
16
yes! that's the final answer . good job :)

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