SAT Prep: Exponents

-1⁸

-1

-(-6)²

36

(-2)³(-3)⁴

-648

7m³ * -3m^-3

-21

(2x²)^-3

1/8x⁶

2uv² * -4u²v

-8u³v³

x²/x^-3

x⁵

x²*x³*x⁴

x⁹

(b^-2)^-3 *(b³)²

b¹²

(x²y³z⁴/x^-3y^-4z^-5)

x⁵y⁷z⁹

If 3^x+2=y, then what is the value of 3^x in terms of y?

y/9

If 2a-b=4, what is the value of 4^a/2^b

16

If 4√3=√3x, what is the value of x?

16

2√27

6√3

3√75

15√3

5√2=√x

50

x√x=√216

6

If a^-½=3, what is the value of a?

1/9

If 4²ⁿ⁺³=8ⁿ⁺⁵, what is the value of n?

9

if 2^x/2^y=2³, then x must equal

y+3

If 3^x =10, what is the value of 3^x-3

10/27

if x²y³=10 and x³y²=8, what is the value of x⁵y⁵?

80

If a and b are positive even integers, which of the following is greatest? A. (-2a)^b B. (-2a)^2b C. (2a)^b D. 2a^2b

B. (-2a)^2b

If x²=y³, for what value of z does x^3z=y⁹

2

If 2^x+3-2^x=k(2^x)

7

If x>0 in the equation: 2√x+2 =3√2

2.5

If x^ac *x^bc =x³⁰, x>1, and a+b=5, what is the value of c?

6

If n³=x and n⁴=20x, where n>0, what is the value of x?

8,000

If x⁸y⁷ =333 and x⁷y⁶ =3, what is the value of xy?

111