Lessons
10Representing Whole Numbers in Exponential Form
Represent whole numbers in exponential form, expand powers into repeated multiplication, and compare and order numbers written in exponential form.
Comparing and Representing Integers in Exponential Form
Represent and compare integers in exponential form, and determine the sign of powers of negative integers.
Scientific Notation
Write and compare numbers in scientific notation, limited to positive exponents, and multiply to give answers in scientific notation.
Multiplying Powers of the Same Base
Establish the law of exponents for multiplication: a^m x a^n = a^(m+n).
Raising a Product to a Power
Establish the law of exponents for a product raised to a power: (a x b)^n = a^n x b^n.
Raising a Power to a Power
Establish the law of exponents for a power raised to a power: (a^m)^n = a^(m x n).
Dividing Powers of the Same Base and the Zero Exponent
Establish the law of exponents for division a^m / a^n = a^(m-n) and the zero exponent a^0 = 1.
Calculations with Squares, Cubes and Roots
Perform calculations involving all four operations with numbers that involve squares, cubes, square roots and cube roots of integers.
Squares, Cubes and Roots of Rational Numbers
Calculate the squares, cubes, square roots and cube roots of rational numbers.
Solving Problems in Context Involving Exponents
Solve real-life problems in context that involve numbers in exponential form.