Simplify (6k^4)/( square root of 2k-2)

Math
6k42k-2
Factor 2 out of 2k-2.
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Factor 2 out of 2k.
6k42(k)-2
Factor 2 out of -2.
6k42(k)+2(-1)
Factor 2 out of 2(k)+2(-1).
6k42(k-1)
6k42(k-1)
Multiply 6k42(k-1) by 2(k-1)2(k-1).
6k42(k-1)⋅2(k-1)2(k-1)
Combine and simplify the denominator.
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Multiply 6k42(k-1) and 2(k-1)2(k-1).
6k42(k-1)2(k-1)2(k-1)
Raise 2(k-1) to the power of 1.
6k42(k-1)2(k-1)12(k-1)
Raise 2(k-1) to the power of 1.
6k42(k-1)2(k-1)12(k-1)1
Use the power rule aman=am+n to combine exponents.
6k42(k-1)2(k-1)1+1
Add 1 and 1.
6k42(k-1)2(k-1)2
Rewrite 2(k-1)2 as 2(k-1).
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Use axn=axn to rewrite 2(k-1) as (2(k-1))12.
6k42(k-1)((2(k-1))12)2
Apply the power rule and multiply exponents, (am)n=amn.
6k42(k-1)(2(k-1))12⋅2
Combine 12 and 2.
6k42(k-1)(2(k-1))22
Cancel the common factor of 2.
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Cancel the common factor.
6k42(k-1)(2(k-1))22
Divide 1 by 1.
6k42(k-1)(2(k-1))1
6k42(k-1)(2(k-1))1
Simplify.
6k42(k-1)2(k-1)
6k42(k-1)2(k-1)
6k42(k-1)2(k-1)
Cancel the common factor of 6 and 2.
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Factor 2 out of 6k42(k-1).
2(3k42(k-1))2(k-1)
Cancel the common factors.
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Cancel the common factor.
2(3k42(k-1))2(k-1)
Rewrite the expression.
3k42(k-1)k-1
3k42(k-1)k-1
3k42(k-1)k-1
Simplify (6k^4)/( square root of 2k-2)

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