Question

plz solve this question​

Answer 1

Answer:

$\boxed{\sf 9{r}^{8} {h}^{6}}$

Step-by-step explanation:

$\sf Simplify \: the \: following: \\ \sf \implies {(\frac{9 {r}^{5} {h}^{6} }{3r {h}^{3} } )}^{2} \\ \\ \sf \frac{9}{3} = \frac{3 \times \cancel{3}}{ \cancel{3}} = 3 : \\ \sf \implies {( \frac{ \boxed{ \sf 3} {r}^{5} {h}^{6} }{r {h}^{3} } )}^{2} \\ \\ \sf Combine \: powers \: ( \frac{3 {r}^{5} {h}^{6} }{r {h}^{3} } )= 3 {r}^{5 - 1} {h}^{6 - 3} : \\ \sf \implies {(3 {r}^{ \boxed{ \sf 5 - 1}} {h}^{ \boxed{ \sf 6 - 3}})}^{2} \\ \\ \sf 5 - 1 = 4 : \\ \sf \implies {(3 {r}^{ \boxed{ \sf 4}} {h}^{6 - 3})}^{2} \\ \\ \sf 6 - 3 = 3 : \\ \sf \implies {(3 {r}^{4} {h}^{ \boxed{ \sf 3}})}^{2} \\ \\ \sf Multiply \: each \: exponent \: in \: 3 {r}^{4} {h}^{3} \: by \ 2: \\ \sf \implies {3}^{2} {r}^{4 \times 2} {h}^{3 \times 2} \\ \\ \sf 4 \times 2 = 8 : \\ \sf \implies {3}^{2} {r}^{ \boxed{ \sf 8}} {h}^{3 \times 2} \\ \\ \sf 3 \times 2 = 6 : \\ \sf \implies {3}^{2} {r}^{8} {h}^{ \boxed{ \sf 6}} \\ \\ \sf {3}^{2} = 9 : \\ \sf \implies 9{r}^{8} {h}^{6}$