SAT Math Videos on Exponents (Part - 2)

Problem 1 :

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

A)  -1

B)  0

C)  1

D)  2

Solution :

Problem 2 :

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

A)  3

B)  5

C)  7

D)  8

Solution :

Problem 3 :

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

A)  3

B)  5

C)  6

D)  10

Solution :

Problem 4 :

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

Solution :

Problem 5 :

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

Solution :

Problem 6 :

Solve for x :

Solution :

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