Unit 6 Quiz Review

Simplest Radicals

100

8^{2/3}

4

200

Express in simplest radical form

x^{2/3}

root(3){x^2}

300

Express in simplest radical form

(4^(1/2))^5

32

400

Express in simplest radical form

(16^(1/4))^5

32

500

Express in simplest radical form

(4^(1/5))^4

2root(5)8

Simplest Fractional Exponents

100

Find the value of a in the equation

x^{3/2}x^{5/4}=x^a

11/4

200

Find the value of a in the equation

(x^{5/3})^{2/3}

10/9

300

Find the value of a in the equation

root(26)({n^5}/{n^-8})=n^a

1/2

400

Find the value of a in the equation

root(15)({1}/{p^-1*p^6})=p^a

-1/3

500

Find the value of a in the equation

{(x^{1/3})^8*sqrt{x^6}}/{x^{11/3}}=x^a

2

Simply Expressions

100

sqrt{x^25y^6}

x^12y^3sqrt{x}

200

sqrt{50x^3y^8}

5xy^4sqrt{2x}

300

root(3){8x^3y}

2xroot3y

400

root(4)(16x^16y^8)

2x^4y^2

500

root(4){512x^40y^80}

4x^10y^12root(4){2}

Exponent Rules

100

Use exponent properties to simplify the expression

x^4root(6){x}

x^{25/6}

200

Use exponent properties to simplify the expression

{8x^9y^{-2}}/{2x^4y^2}

{4x^5}/{y^4}

300

Use exponent properties to simplify the expression

(32x^10y^{-35})^{-3/5}

{y^21}/(8x^6)

400

Use exponent properties to simplify the expression

(49x^10y^{16})^{-5/2}

{1}/{16807x^25y^{40}

500

Use exponent properties to simplify the expression

{sqrt{135x^8y^13}}/{sqrt{5y^4}}

3x^4y^4sqrt{3y}

Radicalize the Denominator

100

Express in simplest radical form

sqrt{49/4}

7/2

200

Express in simplest radical form

25/(sqrt{625})

1

300

Express in simplest radical form

(n^2)/(sqrt{20n^4})

sqrt{5}/(10)

400

Express in simplest radical form

(6)/(sqrt{8m^(10)})

(3sqrt(2))/(2m^5)

500

Express in simplest radical form

(5)/(sqrt{8x^(3)})

{5sqrt{2x}}/(4x^2)