Simplify 8/(7 square root of j^15)

Math
87j15
Simplify the denominator.
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Rewrite j15 as (j7)2j.
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Factor out j14.
87j14j
Rewrite j14 as (j7)2.
87(j7)2j
87(j7)2j
Pull terms out from under the radical.
87j7j
87j7j
Multiply 87j7j by jj.
87j7j⋅jj
Combine and simplify the denominator.
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Multiply 87j7j and jj.
8j7j7jj
Move j.
8j7j7(jj)
Raise j to the power of 1.
8j7j7(j1j)
Raise j to the power of 1.
8j7j7(j1j1)
Use the power rule aman=am+n to combine exponents.
8j7j7j1+1
Add 1 and 1.
8j7j7j2
Rewrite j2 as j.
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Use axn=axn to rewrite j as j12.
8j7j7(j12)2
Apply the power rule and multiply exponents, (am)n=amn.
8j7j7j12⋅2
Combine 12 and 2.
8j7j7j22
Cancel the common factor of 2.
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Cancel the common factor.
8j7j7j22
Divide 1 by 1.
8j7j7j1
8j7j7j1
Simplify.
8j7j7j
8j7j7j
8j7j7j
Multiply j7 by j by adding the exponents.
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Move j.
8j7(j⋅j7)
Multiply j by j7.
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Raise j to the power of 1.
8j7(j1j7)
Use the power rule aman=am+n to combine exponents.
8j7j1+7
8j7j1+7
Add 1 and 7.
8j7j8
8j7j8
Simplify 8/(7 square root of j^15)

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