Question

find the value of [(3/4)²]⁴÷[(3/4)⁴]²​

Answer 1

SolutioN :-

$\longrightarrow \sf \bigg[ { \bigg({ \frac{3}{4} \bigg) }^{2} \bigg] }^{4} \div \bigg[ { \bigg({ \frac{3}{4} \bigg) }^{4} \bigg] }^{2}\\ \\\longrightarrow \sf\bigg({ \frac{3}{4} \bigg) }^{8} \div \bigg({ \frac{3}{4} \bigg) }^{8} \\ \\\longrightarrow \sf \bigg({ \frac{3}{4} \bigg) }^{8 - 8} \\ \\\longrightarrow \sf \bigg({ \frac{3}{4} \bigg) }^{0} \\ \\ \longrightarrow \sf1$

Identity Used :-

$\large \longrightarrow \sf {a}^{m} \div {a}^{n} = {a}^{m - n} \\ \\ \large \longrightarrow \sf { ({a}^{m} )}^{n} = {a}^{mn}$