Algebra II Unit 1 Review

Exponent Rules

100

Simplify:

-8xy^5(3x^4y)

-24x^5y^6

200

Simplify.

(12x^6y)/(10x^2y^5)

(6x^4)/(5y^4)

300

Simplify.

(-7x^3y)^4

2401x^12y^4

400

Rewrite with no negative exponents and simplify.

-3x^-2

(-3)/(x^2)

500

Rewrite with no negative exponents and simplify.

(-3x)^(-2)

1/(9x^2)

Simplify Radicals

100

Simplify.

\sqrt(117)

3\sqrt13

200

Simplify.

sqrt2sqrt6

2\sqrt3

300

Simplify.

sqrt54/sqrt2

3sqrt3

400

Simplify.

\sqrt8-4sqrt2

-2sqrt2

500

Simplify.

sqrt20/2

sqrt5

Exp and Radical Form

100

Rewrite in radical form. DO NOT SIMPLIFY.

x^(4/5)

root(5)(x^4)

200

Rewrite in exponential form. DO NOT SIMPLIFY.

sqrt(x^3)

x^(3/2)

300

Simplify.

root(6)(x^18)

x^3

400

Simplify. WRITE YOUR ANSWER IN RADICAL FORM.

root(20)(x^10)

sqrtx

500

Simplify. YOUR ANSWER WILL LOOK LIKE  x^a*root(n)(x^m) .

root(4)(x^11)

x^2*root(4)(x^3)