SAT Math Videos on Exponents

Problem 1 :

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

A)  -9

B)  ⅑

C)  ⅓

D)  9

Solution :

Problem 2 :

Let n = 1² + 1⁴ + 1⁶ + 1⁸ +...............+ 1⁵⁰. What is the value of n?

A)  10

B)  20

C)  25

D)  30

Solution :

Problem 3 :

If 4^{2n + 3} = 8^{n + 5}, what is the value of n? 

A)  10

B)  20

C)  25

D)  30

Solution :

Problem 4 :

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

A)  ¹⁰⁄₃

B)  ¹⁰⁄₉

C)  ¹⁰⁄₂₇

D)  ²⁷⁄₁₀

Solution :

Problem 5 :

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

A)  18

B)  20

C)  40

D)  80

Solution :

Problem 6 :

If a and b are positive integers, which of the following is greatest?

A)  (-2a)^b

B)  (-2a)^2b

C)  (2a)^b

D)  2a^2b

Solution :

Problem 7 :

If x¹⁰ = 5 and x⁹/y = 5555, find the value of 1/xy.

A)  5

B)  1111

C)  2525

D)  5555

Solution :

Problem 8 :

A)  2¹²

B)  4⁴

C)  8²

D) The value can not be determined from the information given

Solution :

Problem 9 :

Solution :

Problem 10 :

If (300)(400) = 12 ⋅ 10ⁿ, what is the value of n?

Solution :

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