Multiplying Powers Worksheet
Practice multiplying powers with the same base, different bases, and applying the power of a power rule.
Includes
Standards
Topics
Multiplying Powers Worksheet
Name:
Date:
Score:
Read each question carefully and simplify the expressions involving powers. Show your work where applicable.
Simplify the following expressions. Write your answer in exponential form.
1. $5^3 \times 5^7$
2. $x^2 \times x^8 \times x^1$
3. $(y^4)(y^{-2})$
Fill in the missing exponent to make the equation true.
1. $2^5 \times 2^{\text{ }} = 2^{12}$
2. $m^9 \times m^{\text{ }} = m^{15}$
3. $p^3 \times p^{-7} \times p^{\text{ }} = p^0$
1. Which of the following is equivalent to $(3^2)^4$?
$3^6$
$3^8$
$3^{16}$
$3^2 \times 4$
2. What is the simplified form of $(2a^3b^2)(4a^5b)$?
$8a^8b^3$
$6a^8b^3$
$8a^{15}b^2$
$8a^8b^2$
Simplify the following expressions using the power of a power rule.
1. $(7^3)^5$
2. $( (x^2)^3 )^4$
3. $(3m^5)^2$
Determine if the following statements are true or false.
1. $4^2 \times 4^3 = 4^6$
True
False
2. $(ab^2)^3 = a^3b^6$
True
False
Simplify the following expressions completely.
1. $(2x^2y)^3 \times (xy^4)^2$
2. $(-3a^4b^0)^2 \times (2a^{-1}b^3)^3$
Related Worksheets
Dividing Powers Worksheet
Grade 10 Math worksheet on dividing powers, including simplifying expressions and solving problems involving negative and zero exponents.
Expanded Notation Worksheet
A Grade 10 Math worksheet focusing on understanding and applying expanded notation to various number types, including decimals and scientific notation.
Binary Number System Worksheet
Explore the binary number system with this worksheet, covering conversions, arithmetic, and applications for Grade 10 students.
Scientific Notation Mastery
This worksheet helps Grade 10 students practice converting numbers to and from scientific notation, performing operations, and solving real-world problems involving very large or very small numbers.
Mathematical Properties Review
A Grade 10 math worksheet covering commutative, associative, distributive, identity, and inverse properties.
Adding and Subtracting Rational Numbers
Grade 10 math worksheet on adding and subtracting rational numbers, including fractions, decimals, and mixed numbers.
Properties of Exponents Worksheet
This worksheet covers the fundamental properties of exponents, including product rule, quotient rule, power rule, zero exponent rule, and negative exponent rule, suitable for Grade 10 students.
Grade 10 Exponent Operations Worksheet
A Grade 10 math worksheet focusing on simplifying expressions using exponent rules, including product, quotient, power, and negative exponent rules.