Exercise 6 Page 320

The expression (- 16)^3, or - 16 to the third power, can be written as the product of three - 16 terms. Note that when multiplying two negative numbers, we obtain a positive number. (- a)(- a) = a* a This means that any real negative number raised to an odd power will result in a negative result. (- 1/6)^3 ⇔ - (1/6)^3 Let's evaluate the expression.

( - 1/6)^3

Rewrite

Rewrite (- 1/6)^3 as (- 1/6)*(- 1/6)* (- 1/6)

( - 1/6)*(- 1/6)* (- 1/6)

MultNegNegTwoPar

(- a)(- b)=a* b

- 1/6*1/6*1/6

MultFrac

Multiply fractions

- 1* 1* 1/6* 6* 6

IdPropMult

Identity Property of Multiplication

- 1/6* 6* 6

Multiply

Multiply

- 1/216

Using a calculator, we can either enter (- 16)^3, or - 16 * 6* 6, or - 1216. All of the expressions give us the same answer.