0. Review of Algebra

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {0, 2, 4, 6, 8}, N = {1, 3, 5, 7, 9, 11, 13}, Q = {0, 2, 4, 6, 8, 10, 12}, and R = {0, 1, 2, 3, 4}.Use these sets to find each of the following. Identify any disjoint sets. M ∩ N

Simplify each expression. Write answers without negative exponents. Assume all variables represent nonzero real numbers. (5x)^-2(5x³)^-3/(5^-2x^-3)^-3

Fill in the blank(s) to correctly complete each sentence. In the expression 6³, 6 is the ____ , and 3 is the ____ .

Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}, M = {0, 2, 4, 6, 8}, N = {1, 3, 5, 7, 9, 11, 13}, Q = {0, 2, 4, 6, 8, 10, 12}, and R = {0, 1, 2, 3, 4}.Use these sets to find each of the following. Identify any disjoint sets. M ∪ N

Add or subtract as indicated. 25.32 + 109.2 + 8.574

Evaluate each expression 27^(-4/3)

State the name of the property illustrated. 7⋅(11⋅8)=(11⋅8)⋅7

Simplify using properties of exponents. $\left(5x^{\frac{2}{3}}\right)\left(4x^{\frac{1}{4}}\right)$

Evaluate each exponential expression: (3³)/(3⁶)

Find each product or quotient where possible. -8(-5)

Use set notation, and list all the elements of each set. {x | x is a natural number not greater than 4}

Write each decimal as a fraction. (Do not write in lowest terms.) 0.6

State the name of the property illustrated. 1/(x+3) (x+3)=1, x≠−3