0. Review of Algebra

Exponents

Open Question
Write a decimal number that has 5 in the thousands place, 0 in the tenths place, and 4 in the ten-thousandths place.
Open Question
Evaluate each expression. |-10|
Open Question
Let A = {2, 4, 6, 8, 10, 12}, B = {2, 4, 8, 10}, C = {4, 10, 12}, D = {2, 10}, andU = {2, 4, 6, 8, 10, 12, 14}. Determine whether each statement is true or false. A ⊆ U
Open Question
In Exercises 31–50, 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.(4.3X10⁸)(6.2X10⁴)
Open Question
Write each fraction in lowest terms. 8/16
Open Question
In the decimal number 367.9412, name the digit that has each place value. (a) tens (b) tenths (c) thousandths (d) ones or units (e) hundredths
Open Question
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
Open Question
State the name of the property illustrated: (6 • 3) • 9 = 6 • (3 • 9)
Open Question
Evaluate each exponential expression: 5^(-3) • 5
Multiple Choice
Simplify the expression using exponent rules.
$\left(-5a^2\right)\left(3a^8\right)$
Multiple Choice
Simplify the expression using exponent rules.
$-\frac{12b^{11}}{4b^7}$
Multiple Choice
Rewrite the expression using exponent rules.
$\left(4x^2\right)^3$
Multiple Choice
Rewrite the expression using exponent rules.
$\left(\frac{3x^4}{y^{-2}}\right)^3$
Open Question
In Exercises 1–14, write each number in decimal notation without the use of exponents.3.8X10²
Open Question
In Exercises 1–6, find the intersection of the sets.{ 1, 2, 3, 4} ⋂ {2, 4, 5}