0. Review of Algebra

Perform all indicated operations, and write each answer with positive integer exponents. {x- 9y^-1}/{ (x-3y^-1)(x+3y^-1)}

Use set notation, and list all the elements of each set. {1, 1/2, 1/4, ...., 1/32} .

Exercises 159–161 will help you prepare for the material covered in the next section. If 6.2 is multiplied by 10^3, what does this multiplication do to the decimal point in 6.2?

Simplify each expression. (-8t³)(2t⁶)(-5t⁴)

Evaluate each expression. (-2)⁴

Perform the indicated computations. Write the answers in scientific notation. If necessary, round the decimal factor in your scientific notation answer to two decimal places. $(4.3\times {10}^8)(6.2\times {10}^4)$

Find each product or quotient where possible. -5/2 (-12/25)

Find each sum or difference. -12.31 - (2.13)

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. (N ∪ R) ∩ M

Write each decimal as a fraction. (Do not write in lowest terms.) 0.087

Rewrite each expression without absolute value bars. -3/|-3|

Write each percent as a decimal. 2.4%