Find the value of the following:

(i) 5⁵

(ii) $\left(\dfrac{3}{4}\right)^4$

(i) 5⁵

$\Rightarrow 5 \times 5 \times 5 \times 5 \times 5\\[1em] \Rightarrow 3125$

Hence, 5⁵ = 3125.

(ii) $\left(\dfrac{3}{4}\right)^4$

$\Rightarrow \dfrac{3}{4} \times \dfrac{3}{4} \times \dfrac{3}{4} \times \dfrac{3}{4}\\[1em] \Rightarrow \dfrac{3 \times 3 \times 3 \times 3}{4 \times 4 \times 4 \times 4}\\[1em] \Rightarrow \dfrac{81}{256}$

Hence, $\left(\dfrac{3}{4}\right)^4 = \dfrac{81}{256}$.