Power to a Power Exponents Worksheet
Practice worksheet for Grade 10 students on the 'Power to a Power' rule of exponents, including simplifying expressions and solving problems.
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Power to a Power Exponents Worksheet
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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?
x^6
x^8
x^16
2x^4
2. The simplified form of ( (p^2)^3 )^4 is:
p^9
p^12
p^24
p^64
Indicate whether each statement is True or False:
1. (x^2)^3 is equal to x^5.
True
False
2. (4^1)^0 simplifies to 1.
True
False
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.
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