Question

Simplify and express in exponential form :
$[{(-3)}^4\times {(1-3)}^2]÷{(-3)}^7$

Answer 1

$\left[\right(-3{)}^4\times (1-3{)}^2]÷(-3{)}^7$

$=\left[\right(-3{)}^4\times (-2{)}^2]÷(-3{)}^7$

$=\frac{\left[\right(-3{)}^4\times 4]}{(-3{)}^7}$

$=\left[\right(-3{)}^{4-7}\times 4]$

$=\left[\right(-3{)}^{-3}\times 4]=\frac{1}{(-3{)}^3}\times 4=\frac{4}{-27}=\frac{-4}{27}$