Exercise 27 Page 317

First, recall that taking a third power of a number is the same as multiplying the number two times by itself. ( -2/3 )^2 = ( -2/3 ) * ( -2/3 ) * ( -2/3 ) We will first find the product of the first two fractions. ( -2/3 ) * ( -2/3 ) When we multiply fractions, we need to remember that the product of two fractions is equal to the product of the numerators divided by the product of the denominators. Let's find the given product!

( -2/3 ) * ( -2/3 )

MoveNegFracToNum

Put minus sign in numerator

-2/3 * -2/3

MultFrac

Multiply fractions

-2 * (-2)/3 * 3

MultNegNegOnePar

- a(- b)=a* b

2 * 2/3 * 3

Multiply

Multiply

4/9

The product of the first two fractions equals 49. ( -2/3 ) * ( -2/3 ) * ( -2/3 ) ⇒ 4/9 * ( -2/3 ) Now, let's find the product of the resulting fractions.

4/9 * ( -2/3 )

MoveNegFracToNum

Put minus sign in numerator

4/9 * -2/3

MultFrac

Multiply fractions

4 *(-2)/9 * 3

MultPosNeg

a(- b)=- a * b

-8/9 * 3

Multiply

Multiply

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MoveNegNumToFrac

Put minus sign in front of fraction

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