# Intro to Exponents Learn to evaluate expressions with

• Slides: 10

Intro to Exponents Learn to evaluate expressions with exponents.

Review Find the product. 1. 5 • 5 • 5 625 2. 3 • 3 27 3. (– 7) • (– 7) – 343 4. 9 • 9 81

The term 27 is called a power. If a number is in exponential form, the exponent represents how many times the base is to be used as a factor. Exponent Base 2 7

Write in exponential form. A. 4 • 4 • 4 • 4 = 44 Identify how many times 4 is a factor. B. d • d • d = d 5 Identify how many times d is a factor. Reading Math Read 44 as “ 4 to the 4 th power. ”

Write in exponential form. C. (– 6) • (– 6) = (– 6)3 Identify how many times – 6 is a factor. Remember to keep the – sign inside the ( )! If it is outside, your answer will be negative even if you have an even number of – signs. D. 5 • 5 = 52 Identify how many times 5 is a factor.

Write in exponential form. A. x • x • x= x 5 Identify how many times x is a factor. B. d • d • d = d 3 Identify how many times d is a factor.

Evaluate. Find the product of five 3’s. A. 35 35 = 3 • 3 • 3 = 243 B. (– 3)5 Find the product of five – 3’s. (– 3)5 = (– 3) • (– 3) = – 243 Helpful Hint Always use parentheses to raise a negative number to a power.

Evaluate. Find the product of four 7’s. C. 74 74 = 7 • 7 • 7 = 2401 D. (– 9)3 Find the product of three – 9’s. (– 9)3 = (– 9) • (– 9) = – 729

Simplifying Expressions Containing Powers Simplify (25 – 32 ) + 6(4) = (32 – 9) + 6(4) Evaluate the exponents. = (23) + 6(4) Subtract inside the parentheses. = 23 + 24 Multiply from left to right. = 47 Add from left to right.

Simplify (32 – 82) + 2 • 3 = (9 – 64) + 2 • 3 = (– 55) + 2 • 3 = – 55 + 6 = – 49 Evaluate the exponents. Subtract inside the parentheses. Multiply from left to right. Add from left to right.