Activity 2.7The Square of a Cube

• In your groups work on problem 1 (pg. 235)

• What happens when you raise an exponent to another exponent?

• Property of Exponents (Power to a Power)– If a is a real number and m and n are integers, then

(an)m = (am)n = amn

• Do problem 2 in your groups

• In your groups do problem 3

• What happens when you raise a product to a power?

• Property of Exponents (Power of a Product)– If a and b are real numbers, and n is an integer,

then (ab)n = anbn

• Do problem 4 in your groups

Fractional Exponents

• What does equal as a base raised to an exponent?

•

• The explanation is given in your book on page 237

• Do problem 6 in your groups

• Once you have completed 6, go on to problem 7 and read the definition for a cube root

a

021

aforaa

• In your groups work on problems 8 and 9 using your calculators

• When doing problem 10 be sure to give explanations

• If you are done early, complete problem 11

Rational Exponents

• What happens if we have an exponent that is a fraction where the numerator is not 1?– Ex.

• Definition

• In your groups work on problems 12 through 19

43

16

0 awhereaaapqq pq

p