Raising a Power to a Power: Assignment

Which can be used to describe the expression? Check all that apply.(r ^-4)^3

1. There are three factors of r ^-4. 2. The expression is equal to 1 over 12 factors of r. 4. Multiplying the exponents will create an equivalent expression.

Maude evaluated the expression (3^2)^-3. 1. 32 • (−3) 2. 3^6 3. 729 Analyze Maude's work. Is she correct? If not, what was her mistake?

C. No, her exponent should be a negative value

Examine and complete the work simplifying the expression (23)3. 1. Expand using 3 factors of 23: (23)(23)(23) 2. Apply the product of a power: 23 + 3 + 3 3. Simplify: 2x Answer the questions about simplifying and evaluating the expression (23)3 . What is the value of x in the simplified power? What is the value of the expression?

1. 9 2. 512

Which expressions can be simplified as 1/p^16? Check all that apply.

1. (p^-4)^4 2. (p^8)^-2 4. (p^16)^1

Determine the value of variables a, b, and c that make each equation true. What is the value of a in this equation?(xa)6 = 1/x^30 a= What is the value of b in this equation?(x^-7)^-4 = x^b b= What is the value of c in this equation?(x^-2)^c = x^22 c=

1. -5 2. 28 3. -11

Determine the value of the variables when simplifying and evaluating the expression (30^2)^0 . What is the value of m in the simplified power?(30^2)^0= 30^m m = What is the value of (30^2)^0?(30^2)^0 =

1. 0 2. 1

What is the volume of a cube with a side length of 3t^5units? Cube V = s^3

C. 27t^15 units^3

Which applies the power of a power rule properly to simplify the expression (7^10)^5?

D. (7^10)^5= 7^10 · ^5 = 7^50

Kelly simplified this power of a product. (7w^-9)^-3 1. 7^-3∙(w^-9)^-3 2. 1/343 w^27 Use Kelly's steps to simplify this expression. (5w^7)^2 What is the simplified power of the product?

D. 25w^14

Which power is equivalent to the expression (g^-12)^-3?

D. g^36

Clyde simplified ( j-8)-2. j^(-8)+(-2)=j^10=1/j^10 What error did Clyde make, and what is the correct simplified form?

Sample Answer: Clyde should have applied the power of a power rule and multiplied the exponents instead of adding them. The simplified form should be j to the 16th power.