Ontario 09 Academic (MPM1D)
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Power of a power with integer bases

Interactive practice questions

We want to simplify:

$\left(2^2\right)^4$(22)4

a

Select all of the expressions that are equivalent to $\left(2^2\right)^4$(22)4:

$2^2\times2^4$22×24

A

$\left(2\times2\right)^4$(2×2)4

B

$\left(2\times2\right)\times\left(2\times2\right)\times\left(2\times2\right)\times\left(2\times2\right)$(2×2)×(2×2)×(2×2)×(2×2)

C

$\left(2\times2\right)\times\left(2\times2\times2\times2\right)$(2×2)×(2×2×2×2)

D

$2^2\times2^2\times2^2\times2^2$22×22×22×22

E

$2^2\times2^4$22×24

A

$\left(2\times2\right)^4$(2×2)4

B

$\left(2\times2\right)\times\left(2\times2\right)\times\left(2\times2\right)\times\left(2\times2\right)$(2×2)×(2×2)×(2×2)×(2×2)

C

$\left(2\times2\right)\times\left(2\times2\times2\times2\right)$(2×2)×(2×2×2×2)

D

$2^2\times2^2\times2^2\times2^2$22×22×22×22

E
b

Choose the correct statement:

$\left(2^2\right)^4=2^{2\times4}$(22)4=22×4

A

$\left(2^2\right)^4=2^{2+4}$(22)4=22+4

B

$\left(2^2\right)^4=2^{2\times4}$(22)4=22×4

A

$\left(2^2\right)^4=2^{2+4}$(22)4=22+4

B
c

Fill in the box to complete the rule: $\left(2^2\right)^4=2^{\editable{}}$(22)4=2

Easy
Approx 2 minutes
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We want to simplify:

$\left(10^2\right)^3$(102)3

Express in simplified exponential form:

$\left(9^4\right)^3$(94)3

Express in simplified exponential form:

$\left(9^5\right)^7$(95)7

Outcomes

9D.NA1.03

Derive, through the investigation and examination of patterns, the exponent rules for multiplying and dividing monomials, and apply these rules in expressions involving one and two variables with positive exponents

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