Question

simplify using law of exponents
((-3/4)^2)^2 ÷ (-3/4)^5​

Answer 1

Step-by-step explanation:

$Simplify \: using \: law \: of \: exponents : \\ { ({ (\frac{ - 3}{4} )}^{2}) }^{2} \div {( \frac{ - 3}{4}) }^{5} \\ {( \frac{ - 3}{4} )}^{4} \div {( \frac{ - 3}{4}) }^{5} \\ = using \: {m}^{a} \div {m}^{b} = {m}^{a - b} \\ = { (\frac{ - 3}{4} )}^{4 - 5} \\ = {( \frac{ - 3}{4}) }^{ - 1} \\ = \frac{ - 4}{3}$