Find the value of the following:

(i) 9³

(ii) 8⁴

(iii) $\left(\dfrac{3}{5}\right)^3$

(iv) 3³ × 5²

(i) 9³

$\Rightarrow 9 \times 9 \times 9\\[1em] \Rightarrow 729$

Hence, 9³ = 729.

(ii) 8⁴

$\Rightarrow 8 \times 8 \times 8 \times 8\\[1em] \Rightarrow 4096$

Hence, 8⁴ = 4096.

(iii) $\left(\dfrac{3}{5}\right)^3$

$\Rightarrow \dfrac{3}{5} \times \dfrac{3}{5} \times \dfrac{3}{5}\\[1em] \Rightarrow \dfrac{3 \times 3 \times 3}{5 \times 5 \times 5}\\[1em] \Rightarrow \dfrac{27}{125}$

Hence, $\left(\dfrac{3}{5}\right)^3 = \dfrac{27}{125}$.

(iv) 3³ × 5²

$\Rightarrow (3 \times 3 \times 3) \times (5 \times 5)\\[1em] \Rightarrow 27 \times 25\\[1em] \Rightarrow 675$

Hence, 3³ × 5² = 675.