Power of a power with variable bases
Interactive practice questions
We want to simplify:
$\left(r^2\right)^4$(r2)4
Select the three expressions which are equivalent to $\left(r^2\right)^4$(r2)4:
$r^2\times r^4$r2×r4
$\left(r\times r\right)\times\left(r\times r\times r\times r\right)$(r×r)×(r×r×r×r)
$\left(r\times r\right)^4$(r×r)4
$\left(r\times r\right)\times\left(r\times r\right)\times\left(r\times r\right)\times\left(r\times r\right)$(r×r)×(r×r)×(r×r)×(r×r)
$r^2\times r^2\times r^2\times r^2$r2×r2×r2×r2
Choose the correct statement:
$\left(r^2\right)^4=r^{2+4}$(r2)4=r2+4
$\left(r^2\right)^4=r^{2\times4}$(r2)4=r2×4
Fill in the box to complete the rule: $\left(r^2\right)^4=r^{\editable{}}$(r2)4=r
Simplify the following, giving your answer with a positive index: $\left(w^3\right)^4$(w3)4
Express the following in simplified index form:
$\left(j^2\right)^5$(j2)5
Express the following in simplified index form:
$\left(c^9\right)^2$(c9)2