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Mathematics 8 Online
OpenStudy (anonymous):

Help with simplifying

OpenStudy (anonymous):

\[(\sqrt[7]{x})^{21} \] \[\sqrt[5]{x^4 * x^5 * x^6} \]

OpenStudy (anonymous):

is the second one x^15 divided by 1/5?

OpenStudy (anonymous):

Your close it is x^15 as you added the exponents together. Add you will divide but you will divide the x^15 by 5.

OpenStudy (anonymous):

how do you do that ._.

OpenStudy (anonymous):

@Loser66

OpenStudy (loser66):

Want to learn a "new" way?

OpenStudy (anonymous):

okay

OpenStudy (anonymous):

also is it just me or is everyone that you cant see smartscores, they're just orange

OpenStudy (loser66):

take the exponent inside * ( times) the degree outside [(\sqrt[7]{x})^{21}\] the exponent inside is 21 the exponent outside is 1/7 times them together, you have \(21*\dfrac{1}{7}=3\) so that the answer is x^3

OpenStudy (loser66):

The smartscore is fake!! I have 99 under my name but it is fake. I am not that good.

OpenStudy (anonymous):

ok that makes sense, what about number 1 though how do you do x^15 / 5

OpenStudy (anonymous):

i mean the second one

OpenStudy (loser66):

\[x^4*x^5*x^6 = x ^{4+5+6}=x^{15}\]

OpenStudy (anonymous):

\[\sqrt[5]{x^4*x^5*x^6}\] = \[x^{15}\]

OpenStudy (anonymous):

what about the 5 in front of the square root

OpenStudy (loser66):

that is just the inside exponent (15) outside exponent is 1/5 times them together you have \(15*\dfrac{1}{5}=3\) so the answer must be x^3

OpenStudy (anonymous):

thanks!

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