Algebra 1 Common Core Student Edition, Grade 8-9

How do you w rit e

an ex p r essi o n in

si m p l i f i ed f o r m?

Use t h e p r o p er t i es o f

exponent s t o wri t e each

variable wit h a single

positive exponent.

Si m p l i f y i n g a n Ex p o n e n t i a l Ex p r e ssi o n

What is the simplified form of (^ j?

y_,4 \ 3

2 x 6

(y4)3

(2x6)3

,,12

Rewrite using the reciprocal of

Rai se t h e n u m e r at o r an d d e n o m i n at o r t o t h e t h i r d p o w er.

8 x

Si m p l i f y.

Go t It? 4. What is the simplified form of (^ j?

Lesso n Ch eck

Do yo u k n o w HOW?

Simplify each expression.

2- (f r

• (? r -

5. A large cube is made up of many small cubes. The
   volume of the large cube is 7.506 X 10 5 mm3. The
   volume of each small cube is 2.78 X 10 4 mm3. How
   many small cubes make up the large cube?

MATHEMATICAL

Do yo u UNDERSTAND? PRA CTICES

6. V o c a b u l a r y How is the property for raising a

quotient to a power similar to the property for raising

a product to a power?

7. a. Reasoning Ross simplifies
   ^7 as shown at the right.
   Explain why Ross’s
   method works.

11

„7-3

b. Open-Ended Write a quotient of powers and use

Ross’s method to simplify it.

Pr act i ce an d Pr o b l em - So l v i n g Ex er ci ses

Pr act i ce Copy and complete each equation.

MATHEMATICAL

PRA CTICES

Se e Pr o b l e m 1.

8. ^ = 59 5 10. ^ = 3
   3

c2r3

11.5 5

Simplify each expression.

08

12. ^ 3 13. 9T_
    9?

14.du

d17

15 n (^1) —4 16. 5s"7 17.xny3
n ^ 10 s"9 xny
18 cld~5
' dd~l 19.
10 m6n3 20. min2
5 m2n7 —1 3

21. f1—3 m7t 22.
    x5y~2Zq 9 3
    xy— 4 2 23.

12 fl_ 1 b 6 c"3

4a 5 b" 1 c 5

= 5

442 Ch ap t er 7 Ex p o n e n t s a n d Ex p o n e n t i a l Fu n c t i o n s