ALGEBRA II: L3 Exponents and Relations

In order to write an expression like (5x + 4)3 in expanded form, it helps to look at (5x + 4) as just one number, n.

(5x + 4)(5x + 4)(5x + 4)

Simplify the expression. 5^0

1

Simplify the expression. Enter your answer in simplified fraction form; example: 1/2. 10^−1

1/10

Simplify the expression. Assume all variables are nonzero. 10(y5/x2)^2

10y^10/x^4

Simplify the following expression. Assume all variables are nonzero. (5x^6)^3

125x^18

Simplify the expression. (2/3)^−3

27/8

Simplify the expression: square root 48/square root 3

4

Simplify the following expression. Assume all variables are nonzero. 5uv^6/u^2v^2

5v^4u

Estimate the square root to the nearest tenth: square root 45

6.7

Evaluate rq2 + 3qr + r2 for r = 5 and q = 2.

75

Simplify the expression. Enter a numerical answer. (1/3)^−2

9

Simplify the expression. Assume all variables are nonzero (−3a^2b^3)^2

9a^4b^6

Give the domain and range for the relation shown in the graph.

D: {-2, -1, 0, 1, 2, 3} R: {-3, -2, -1, 0, 1, 2}

Give the domain and range for the relation.

D: {2000, 2001, 2002, 2003} R: {5.39, 5.65, 5.80, 6.03}

Give the domain and range of the relation.

Domain: {-2, -1, 0, 1} Range: {1, -2}

Give the domain and range for the relation.

Domain: {Mon, Tue, Wed, Thu, Fri} Range: {287, 395, 128, 326, 649}

Determine whether the relation is a function.

Function

Determine if the relation from car models to car colors is a function.

Not a Function

Simplify the following expression. Assume all variables are nonzero. c^3d^2(c^−2d^4)

cd^6

Simplify 5h2 + 4k + 7h - 4h2.

h2 + 4k + 7h

Determine if the relation from the number of items in a grocery cart to the total cost of the items in the cart is a function. Type Yes or No.

no

In the expression 7y6, what is the base of the exponential part of the expression?

y

Determine whether the relation is a function. Type Yes or No. { (2, 3), (5, 4), (0, 3), (4, 1) }

yes

Simplify the expression. (−5)−5

−1/3125

Simplify the following expression. Assume all variables are nonzero. (−2a^3b)^−3

−1/8a^9b^3

Simplify the following expression. Assume all variables are nonzero. −2s^−3t(7s^−8t^5)

−14t^6/s^11

Simplify the following expression. Assume all variables are nonzero. −4m(mn^2)^3

−4m^4n^6