Simplify k^3(k^(7/5))^-5

Math
k3(k75)-5
Multiply the exponents in (k75)-5.
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Apply the power rule and multiply exponents, (am)n=amn.
k3k75⋅-5
Cancel the common factor of 5.
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Factor 5 out of -5.
k3k75⋅(5(-1))
Cancel the common factor.
k3k75⋅(5⋅-1)
Rewrite the expression.
k3k7⋅-1
k3k7⋅-1
Multiply 7 by -1.
k3k-7
k3k-7
Multiply k3 by k-7 by adding the exponents.
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Use the power rule aman=am+n to combine exponents.
k3-7
Subtract 7 from 3.
k-4
k-4
Rewrite the expression using the negative exponent rule b-n=1bn.
1k4
Simplify k^3(k^(7/5))^-5

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