Multiplying Powers Worksheet
Practice multiplying powers with the same base, different bases, and applying the power of a power rule.
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Multiplying Powers Worksheet
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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. $(-3a^4b^0)^2 \times (2a^{-1}b^3)^3$