Rowad Grade 9 Lesson 6.1 - 2

The properties of exponents are useful for solving equations involving:

• Only whole numbers
• Only negative exponents
• Rational exponents
• Quadratic forms only

Which property is represented by (𝑎^𝑚)^𝑛 = 𝑎^(𝑚𝑛)?

• Power of a product
• Product of powers
• Power of a power
• Quotient of powers

What does the property (𝑎𝑏)^𝑚 = 𝑎^𝑚 ∙ 𝑏^𝑚 describe?

• Power of a product
• Product of powers
• Quotient of powers
• Power of a power

Which rule applies to 𝑎^𝑚 ∙ 𝑎^𝑛 = 𝑎^(𝑚+𝑛)?

• Power of a power
• Product of powers
• Quotient of powers
• Power of a product

The expression 𝑎^𝑚 / 𝑎^𝑛 = 𝑎^(𝑚−𝑛) demonstrates which property?

• Power of a product
• Product of powers
• Quotient of powers
• Power of a power

What does 2^(1/3) equal?

• √2
• ∛2
• 2^3
• 3^2

If 𝑎^(𝑚/𝑛) = √(𝑎^𝑚)^n, what is 8^(2/3)?

• 2
• 3
• 4
• 16

Which of the following is equivalent to 5^(1/2)?

• √25
• √5
• 5^2
• 1/5

Which of the following is NOT equivalent to 4^(1/2)?

• √4
• 2
• √24
• 2^1

Solve for 𝑥 in the equation 2^(𝑥/4) + 𝑥/6 = 23

• 6.0
• 7.2
• 8.4
• 9.6