Mathematics Review: Exponents, Roots, and Multiplication Tables

A set of flashcards based on the lecture notes covering the Laws of Exponents, cuemath root/power tables, and multiplication charts.

Product Rule (Laws of Exponents)

$$a^m \times a^n = a^{m+n}$$

Power Rule (Laws of Exponents)

$$(a^m)^n = a^{mn}$$

Quotient Rule (Laws of Exponents)

$$\frac{a^m}{a^n} = a^{m-n}$$

Power of a Product (Laws of Exponents)

$$a^m \times b^m = (a \times b)^m$$

Power of a Quotient (Laws of Exponents)

$$\frac{a^m}{b^m} = (\frac{a}{b})^m$$

Negative Exponent Rule

$$a^{-m} = \frac{1}{a^m}$$

Fractional Negative Exponent Rule

((\frac{a}{b})^{-m} = (\frac{b}{a})^m$$

$\sqrt{2}$ (Square root of 2)

$$1.4142$$

$\sqrt{3}$ (Square root of 3)

$$1.732$$

$\sqrt{7}$ (Square root of 7)

$$2.6457$$

$\sqrt[3]{27}$ (Cube root of 27)

$$3$$

$\sqrt[3]{50}$ (Cube root of 50)

$$3.684$$

$11^3$ (Cube of 11)

$$1331$$

$17^3$ (Cube of 17)

$$4913$$

$12^2$ (Square of 12)

$$144$$

$47^2$ (Square of 47)

$$2209$$

Multiplication Chart Publisher

Nanda Chitra Prakashan