EXAMPLE 2 Use the power of quotient property x3x3 y3y3 = a.a. x y 3 (– 7) 2 x 2 = b.b. 7 x – 2...

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EXAMPLE 2 Use the power of quotient property x 3 y 3 = a. x y 3 (– 7) 2 x 2 = . 7 x – 2 – 7 x 2 = 49 x 2 =

Transcript of EXAMPLE 2 Use the power of quotient property x3x3 y3y3 = a.a. x y 3 (– 7) 2 x 2 = b.b. 7 x – 2...

Page 1: EXAMPLE 2 Use the power of quotient property x3x3 y3y3 = a.a. x y 3 (– 7) 2 x 2 = b.b. 7 x – 2 – 7 x 2 = 49 x 2 =

EXAMPLE 2 Use the power of quotient property

x3

y3 = a. xy

3

(– 7)2

x2=b. 7

x –

2 – 7 x

2= 49

x2=

Page 2: EXAMPLE 2 Use the power of quotient property x3x3 y3y3 = a.a. x y 3 (– 7) 2 x 2 = b.b. 7 x – 2 – 7 x 2 = 49 x 2 =

EXAMPLE 3 Use properties of exponents

Power of a quotient property

Power of a product property

= 64x6

125y3Power of a power property

Power of a quotient property

Power of a power propertya10

b5= 12a2

a10

2a2b5= Multiply fractions.

= 43 (x2)3

53y3

b. a2

b 12a2

5

Quotient of powers propertya8

2b5=

(4x2)3

(5y)3=a. 4x2

5y3

(a2)5

b512a2=

Page 3: EXAMPLE 2 Use the power of quotient property x3x3 y3y3 = a.a. x y 3 (– 7) 2 x 2 = b.b. 7 x – 2 – 7 x 2 = 49 x 2 =

GUIDED PRACTICE for Examples 2 and 3

Simplify the expression.

= x4

16y2

a2

b2=5. ab

2

125 y3–=6. 5

y –

3

7. x2

4y2

8. 3t

2s 3 t5

16s3 t2

54=


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x () x () 2 x ()

x () x () 2 x ()

Vaughan Primary School · 7 x 2 = = 2 x 7 . 7 x = 14 14 = x 7 . x 2 = 14 14 = 2 x . x ⃝ = 14 14 = x ⃝

Vaughan Primary School · 7 x 2 = = 2 x 7 . 7 x = 14 14 = x 7 . x 2 = 14 14 = 2 x . x ⃝ = 14 14 = x ⃝