Question

Simplify this math equation:
(h/5)^-2

Answer 1

`\large \bf \implies{25 {h}^( - 2)} \\`

Explanation:

`\bf \longrightarrow \bigg( (h)/(5) \bigg)^( - 2) \\ \\ \bf \longrightarrow \bigg((5)/(h) \bigg)^(2) \\ \\ \bf \longrightarrow \frac{ {5}^(2) }{ {h}^(2) } \\ \\ \bf \longrightarrow \frac{25}{ {h}^(2) } \\ \\ \bf \longrightarrow25 {h}^( - 2)`

Note :- We have using the negative exponent rule :

`\large \mapsto \bf \boxed{ \bf \red{{a}^( - n) = \frac{1}{ {a}^(n) } }}`