Simplify (25y^4)^(1/2)

Math
(25y4)12
Simplify the expression.
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Apply the product rule to 25y4.
2512(y4)12
Rewrite 25 as 52.
(52)12(y4)12
Apply the power rule and multiply exponents, (am)n=amn.
52(12)(y4)12
52(12)(y4)12
Cancel the common factor of 2.
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Cancel the common factor.
52(12)(y4)12
Rewrite the expression.
51(y4)12
51(y4)12
Evaluate the exponent.
5(y4)12
Multiply the exponents in (y4)12.
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Apply the power rule and multiply exponents, (am)n=amn.
5y4(12)
Cancel the common factor of 2.
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Factor 2 out of 4.
5y2(2)12
Cancel the common factor.
5y2⋅212
Rewrite the expression.
5y2
5y2
5y2
Simplify (25y^4)^(1/2)

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