Question

Simplify.

n^6 · n^5 ÷ n^4 · n^3 ÷ n^2 · n

Answer 1

whatever is multiplied, keep those terms in NUMERATOR,
\(\large n^6n^5n^3n\)
whatever is divided, keep those terms in DENOMINATOR,
\(\large n^4n^2\)
now simplify them separately.

Answer 2

so i take n^6n^5n^3 and times them together

Answer 3

yeah,
use this: \(\large x^a.x^b=x^{a+b}\)
so, what is \(\large n^6n^5n^3n=....?\)

Answer 4

i got n^90 but i dont think thats right

Answer 5

you don't multiply the exponents, you ADD the exponents...
try again?

Answer 6

n^15

Answer 7

YES ! :)

Answer 8

now, denominator ?

Answer 9

is it 4+2 or 4*2

Answer 10

when you multiply the bases, the exponents always gets ADDED, so it'll be 4+2 :)

Answer 11

so n^6

Answer 12

yup,
now you have n^15/n^6
right ? know whqat to do next ?

Answer 13

i almost wanna say add the exponents or is it subtract

Answer 14

when bases get multiply , you ADD the exponents,
but when bases get DIVIDED, you \(\color{green}{SUBTRACT}\) the exponents, so subtract :)
\(\large \dfrac{x^a}{x^b}=x^{a-b}\)

Answer 15

so the answer is n^9

Answer 16

you are \(\huge \checkmark\)
:)

Answer 17

XD thank you for your help

Answer 18

\[ \begin{array}l\color{red}{\text{w}}\color{orange}{\text{e}}\color{#e6e600}{\text{l}}\color{green}{\text{c}}\color{blue}{\text{o}}\color{purple}{\text{m}}\color{purple}{\text{e}}\color{red}{\text{ }}\color{orange}{\text{^}}\color{#e6e600}{\text{_}}\color{green}{\text{^}}\color{blue}{\text{}}\end{array} \]