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Rational Exponents (Grade 10)

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Rational Exponents

Express each of the following with fractional exponents.

a. [math]root3(25^2)[/math]


b. [math]sqrt35[/math]





What is the exact value or simplest form of each of the following expressions?

a.[math](2 3/4)^4[/math]


b. [math]((3^3)(3^2))^3[/math]


c. [math](4/20)^3[/math]


d. [math]sqrt(a^4b^6)[/math]


e. [math]root3(a^3)[/math]


f. [math]sqrt25[/math]





Express with positive exponents:

[math]root(4)(x^3)[/math]

[math]root(5)(x^-2)[/math]

[math](2root(3)(x^(2/3)))^4[/math]





Express the following expression in simplest radical form using only one radical sign.

[math]9^(1/2)*x^(3/2)*y^(5/4)[/math]





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