Exponents and Roots Practice Problems

The video tutorial covers solving exponential equations and rational expressions. It begins with an introduction to exponential equations, followed by detailed examples (A to F) demonstrating various methods to solve them. The tutorial then shifts to rational expressions, focusing on simplification and identifying undefined values. It also covers combining rational expressions and solving fractional equations, providing a comprehensive review of these mathematical concepts.

What is the common base for the numbers 8 and 2?

• 2

• 8

• 4

• 16

If 8^x = 2^(x+6), what is the value of x?

• 2

• 3

• 5

• 4

How can 1/16 be rewritten using a base of 4?

• 4^2

• 4^-2

• 4^-3

• 4^3

What is the value of x if 4^(2x-3) = 1/16?

• 1

• 2

• 3

• 4

How do you eliminate a fractional exponent like 3/2?

• Divide by 2/3

• Multiply by 2/3

• Multiply by 3/2

• Divide by 3/2

What is the cube root of 64?

• 5

• 4

• 3

• 2

What is the common base for 125 and 25?

• 5

• 4

• 3

• 6

If 125^(-2x) = 25^(2x+2), what is the value of x?

• -3

• -2

• -4

• -1

What is the reciprocal of 3/5?

• 5/3

• 3/5

• 2/3

• 3/2

What is the cube root of 27?

• 5

• 4

• 3

• 2