Question

Question 2(iii)
Simplify and express the result in power notation with positive exponent:

$(-3{)}^4\times {\left(\frac{5}{3}\right)}^4$

Answer 1

$(-3{)}^4\times {\left(\frac{5}{3}\right)}^4=(-3{)}^4\times \frac{5^4}{3^4}[\because {\left(\frac{a}{b}\right)}^m=\frac{a^m}{a^n}]=\left\{\right(-1{)}^4\times 3^4\}\times \frac{5^4}{3^4}[\because (ab{)}^m=a^m{b}^m]=3^{4-4}\times 5^4[\because a^m÷a^n=a^{m-n}]=3^0\times 5^4=5^4[\because a^0=1]$