SAT Mc Graw Hill 2011

CHAPTER 11 / ESSENTIAL ALGEBRA 2 SKILLS 435

SAT Practice 6:

Negative and Fractional Exponents

1. If 4n=20, then what is the value of 4−n?


2. If 5^4 ×m= 52 , then m=
   (A) − 52
   (B) 5−^2
   (C)
   (D) 51/2
   (E)


3. If 2m× 2 m× 2 m× 2 m=2, then m=

1

2

1

5

4. For all values of n,

(A) 3

(B)

(C) 3 n

(D) 92

(E) 9 n

5. If xis a positive number, then

(A) x3/4

(B) x–(1/4)

(C) x

3/4

(D)

(E)

6. If x=a^5 =b^3 and xis positive, then ab=

(A) x1/5

(B) x1/8

(C) x8/15

(D) x^8

(E) x^15

x

5

x

3

2

3

⎛

⎝⎜

⎞

⎠⎟

n

33

9

×^2

=

n

n

....

1 2 3 4 5 7 8 9

6

1

0 2 3 4 5 7 8 9

6

1

0 2 3 4 5 7 8 9

6

1

0 2 3 4 5 7 8 9

6

....

1 2 3 4 5 7 8 9

6

1

0 2 3 4 5 7 8 9

6

1

0 2 3 4 5 7 8 9

6

1

0 2 3 4 5 7 8 9

6

x3/2×x1/2

x–(1/2)

=