Simplify (16y^6)^(1/2)

Math
(16y6)12
Simplify the expression.
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Apply the product rule to 16y6.
1612(y6)12
Rewrite 16 as 42.
(42)12(y6)12
Apply the power rule and multiply exponents, (am)n=amn.
42(12)(y6)12
42(12)(y6)12
Cancel the common factor of 2.
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Cancel the common factor.
42(12)(y6)12
Rewrite the expression.
41(y6)12
41(y6)12
Simplify the expression.
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Evaluate the exponent.
4(y6)12
Multiply the exponents in (y6)12.
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Apply the power rule and multiply exponents, (am)n=amn.
4y6(12)
Cancel the common factor of 2.
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Factor 2 out of 6.
4y2(3)12
Cancel the common factor.
4y2⋅312
Rewrite the expression.
4y3
4y3
4y3
4y3
Simplify (16y^6)^(1/2)

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