Power of a power with integer bases
Interactive practice questions
We want to simplify:
$\left(2^2\right)^4$(22)4
Select all of the expressions that are equivalent to $\left(2^2\right)^4$(22)4:
$2^2\times2^4$22×24
$\left(2\times2\right)^4$(2×2)4
$\left(2\times2\right)\times\left(2\times2\right)\times\left(2\times2\right)\times\left(2\times2\right)$(2×2)×(2×2)×(2×2)×(2×2)
$\left(2\times2\right)\times\left(2\times2\times2\times2\right)$(2×2)×(2×2×2×2)
$2^2\times2^2\times2^2\times2^2$22×22×22×22
Choose the correct statement:
$\left(2^2\right)^4=2^{2\times4}$(22)4=22×4
$\left(2^2\right)^4=2^{2+4}$(22)4=22+4
Fill in the box to complete the rule: $\left(2^2\right)^4=2^{\editable{}}$(22)4=2
We want to simplify:
$\left(10^2\right)^3$(102)3
Express in simplified index form:
$\left(9^4\right)^3$(94)3
Express in simplified index form:
$\left(9^5\right)^7$(95)7