Power to a Power Exponents Worksheet

Power to a Power Exponents Worksheet

Read each question carefully and simplify the exponential expressions using the 'Power to a Power' rule. Show all your work.

Simplify the following expressions:

1. (x^3)^5

2. (a^2b^4)^3

3. (2y^5)^4

4. ((-3)^2)^3

Complete the following statements:

1. When raising a power to another power, you   the exponents.

2. The expression (m^p)^q is equivalent to m^ .

3. (5^2)^3 = 5^  =  .

1. Which of the following is equivalent to (x^4)^2?

2. The simplified form of ( (p^2)^3 )^4 is:

Indicate whether each statement is True or False:

1. (x^2)^3 is equal to x^5.

2. (4^1)^0 simplifies to 1.

Solve the following problems:

1. If the side length of a square is represented by 3x^2, what is the area of the square? Express your answer in simplest exponential form.

2. A rectangular prism has a length of (y^3)^2, a width of y^4, and a height of (y^2)^3. Find the volume of the prism. Express your answer in simplest exponential form.