# EXPONENTS AND POWERS PRACTICE QUESTIONS FOR SAT

Problem 1 :

If 3x - 3 = 27, what is the value of x ?

(a)  0   (b)  3   (c)  6   (d)  9

Solution

Problem 2 :

If 2781 = 3x, what is the value of x ?

(a)  27    (b)  84   (c)  100    (d) 243

Solution

Problem 3 :

If y > 0 and

what is the value of b ?

(a) -3/2   (b)  -5/2   (c)  3/2    (d)  5/2

Solution

Problem 4 :

k2 x2a = x2a + 2

In the equation above, k, x and a are positive integers greater than 1. What is the value of x - k ?

(a)  -1    (b)  0     (c)  1   (d) 2

Solution

Problem 5 :

x > 1, which of the following could be the value of a - b ?

(a)  3   (b)  4    (c)  5    (d)  6

Solution

Problem 6 :

If

where n ≠ 0

Solution

Problem 7 :

The expression

where h > 0 and k > 0 is equivalent to which of the following ?

Solution

Problem 8 :

If c-3d = 1/64 and c and d are positive integers, what is one possible value of d ?

Solution

Problem 9 :

Simplify the following :

Solution

Problem 10 :

If m = 1/√n, where m > 0 and n>0, what is n in terms of m ?

Solution

Problem 11 :

If c-1/3 = x, where c > 0 and x > 0, then find the value of c in terms of x.

Solution

Problem 12 :

If a-1/2 = 3, what is the value of a ?

(a) -9    (b)  1/9   (c)  1/3   (d) 9

Solution

Problem 13 :

Let n = 12 + 14 + 16 + 18 + ............ + 150

what is value of n ?

(a)  10   (b)  20   (c)  25   (d) 30

Solution

Problem 14 :

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

(a)  6   (b)  7   (c)  8    (d)  9

Solution

Problem 15 :

If 2x/2y = 23, then x must equal

(a) y + 3   (b)  y - 3    (c)  3 - y     (d)  3y

Solution

Problem 16 :

If x2 = y3, for what value of z does x3z = y9 ?

(a) -1   (b)  0    (c)  1     (d)  2

Solution

Problem 17 :

If 2x + 3 - 2x = k(2x, what is the value of k ?

(a) -1   (b)  0    (c)  1     (d)  2

Solution

Problem 18 :

If xac xbc = x30, x > 1 and a + b = 5, what is the value of c ?

(a) 3   (b)  5    (c)  6     (d)  10

Solution

 1)  x = 62)  x = 2433)  b = -3/24)  x - k = 05) a - b = 56)  n = 2/x27)  h2b k3/4 8)  c = 4 and d = 1, c = 2 and d = 29)  x13/6 10)  n = 1/m211)  c = 1/x312)  a = 1/913)  n = 2514)  n = 915)  y + 316)  z = 217)  k = 718)  c = 6

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