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How can I simplify the expression with rational exponents and radicals (x^2y)^3 2^√y^4.

How Can I Simplify The Expression With Rational Exponents And Radicals X2y3 2y4 class=

Sagot :

We have

[tex](x^2y)^3\sqrt[]{y^4}[/tex]

we will use the next formulas in we can simplify the expression

[tex]\sqrt[m]{x^n}=x^{\frac{n}{m}}[/tex][tex](x^m)^n=x^{m\cdot n}[/tex][tex]x^m\cdot x^n=x^{m+n}[/tex]

so we can simplify the expression as

[tex](x^2y)^3\sqrt[]{y^4}=x^{3\cdot2}y^{3\cdot1}(y^{\frac{4}{2}})=x^6y^3y^2=x^6y^{3+5}=x^6y^5[/tex]

the expression simplified is

[tex](x^2y)^3\sqrt[]{y^4}=x^6y^5[/tex]

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