Simplifying Exponential Expressions

The video tutorial covers simplifying expressions with exponents, starting with basic examples and progressing to more complex ones involving variables. It demonstrates using exponent properties to combine and simplify terms, and discusses different approaches to simplification. The tutorial emphasizes understanding the process and applying exponent rules effectively.

What is the first step in simplifying expressions with exponents?

• Subtract the exponents

• Add the exponents if the bases are the same

• Divide the bases

• Multiply the bases

When simplifying 125^(1/8) * 125^(5/8), what is the resulting exponent?

• 5/8

• 3/4

• 6/8

• 1/8

What is the simplified form of 125^(1/2) divided by 5^(1/2)?

• 5

• 125

• 1

• 25

What is the principal square root of 25?

• 10

• 15

• 5

• 20

What is the result of dividing 125 by 5?

• 30

• 25

• 35

• 20

In the expression 3w^2 raised to different powers, what should you do with the exponents?

• Divide them

• Subtract them

• Add them

• Multiply them

What is the result of simplifying 12w^7 divided by 3w^2?

• 4w^9

• 12w^5

• 3w^5

• 4w^5

How can you express 4^(-3/2) in a simpler form?

• 4

• 1/8

• 1/4

• 8

What is the simplified form of W^5 raised to the power of -3/2?

• W^(-5/2)

• W^(15/2)

• W^(-15/2)

• W^(5/2)

Which of the following is an equivalent expression to 4^(-3/2) * W^(-5/2)?

• 8 * W^(5/2)

• 4 * W^(-5/2)

• 1/4 * W^(5/2)

• 1/8 * W^(-5/2)