Exercise 6 Page 73

Let's start by thinking about what it means to raise a number to a third power. When a number is being cubed, it is being multiplied by itself three times. (- 14)^3 ⇒ ( - 14 ) ( - 14 ) ( - 14 ) Let's calculate the product of these three terms.

(-1/4)^3

a^3=a* a* a

( - 1/4 ) ( - 1/4 ) ( - 1/4 )

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Simplify Product

MoveNegFracToNum

Put minus sign in numerator

(- 1/4 ) ( - 1/4 ) ( -1/4 )

MultFrac

Multiply fractions

(-1)(-1)(-1)/4*4*4

MultNegNegTwoPar

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

1*1*(-1)/4*4*4

MultByOne

a * 1=a

-1/4*4*4

Multiply

Multiply

-1/64

MoveNegNumToFrac

Put minus sign in front of fraction

-1/64

We have found that (- 14 )^3=- 164.