Step-by-step explanation:
[tex]a = \frac{3}{4} [/tex]
Therefore,
[tex] {a}^{2} = ( { \frac{3}{4} })^{2} \\ \: \: = \frac{ {3}^{2} }{ {4}^{2} } \\ = \frac{9}{16} [/tex]
Solution:
Given:
[tex]a = \dfrac{3}{4}[/tex]
Square both sides of the given equation:
[tex]a = \dfrac{3}{4}[/tex]
[tex]\rightarrow (a)^{2} = \text{\huge{[}}\dfrac{3}{4}\text{\huge{]}}^{2}[/tex]
Simplify the equation:
[tex]\rightarrow a^{2} = \text{\huge{[}}\dfrac{3}{4}\text{\huge{]}}\text{\huge{[}}\dfrac{3}{4}\text{\huge{]}}[/tex]
[tex]\rightarrow a^{2} = \text{\huge{[}}\dfrac{3^{2} }{4^{2} }\text{\huge{]}}[/tex]
[tex]\rightarrow \boxed{a^{2} =\dfrac{9 }{16 }}[/tex]
