Multiplying Powers Worksheet
Practice multiplying powers with the same base and different bases, including negative and fractional exponents, suitable for Grade 12 mathematics.
Includes
Standards
Topics
Multiplying Powers
Name:
Date:
Score:
Simplify each expression. Show all your work. Remember the rules for multiplying powers.
1. Which of the following is equivalent to (3x^2)(4x^5)?
12x^7
12x^10
7x^7
7x^10
2. Simplify (2a^3b^-2)(5a^-1b^4).
10a^2b^2
10a^4b^-6
7a^2b^2
7a^4b^-6
3. When multiplying powers with the same base, you the exponents.
4. The product of x^a and x^b is x to the power of .
5. Simplify the expression: (m^(1/2))(m^(3/2)).
6. Explain why (2^3)(2^4) = 2^7.
7. (x^5)(y^3) can be simplified to (xy)^8.
True
False
8. (a^-2)(a^5) simplifies to a^3.
True
False
9. A rectangular prism has a length of 2x^3 units, a width of 3x^2 units, and a height of x^4 units. What is the volume of the prism?
10. If the area of a square is (5y^4)^2, what is the length of one side of the square?
Related Worksheets
Grade 12 Exponent Properties Worksheet
A worksheet for Grade 12 students covering key properties of exponents, including product rule, quotient rule, power rule, zero exponent, and negative exponents.
Dividing Powers Worksheet
This worksheet focuses on dividing powers with the same base, different bases, and applying the quotient rule for exponents, suitable for Grade 12 students.
Classification of Real Numbers
A Grade 12 math worksheet on classifying real numbers, including rational, irrational, integers, whole, and natural numbers.
Grade 12 Integer Word Problems
A worksheet for Grade 12 students to practice solving integer word problems involving various real-world scenarios.
Grade 12 Mathematical Properties Worksheet
Explore and apply fundamental mathematical properties including commutative, associative, distributive, identity, and inverse properties for various operations.
Significant Digits Mastery
A Grade 12 math worksheet focusing on identifying, counting, and applying significant digits in calculations.
Multiplying and Dividing Rational Numbers
Grade 12 math worksheet on multiplying and dividing rational numbers, including complex fractions and rational expressions.
Number Bases Worksheet
Explore different number bases including binary, octal, decimal, and hexadecimal with conversion and arithmetic problems.