Question

"Rewrite the following expression using properties of exponents"

Answer 1

The rule for multiplying exponenets tells us that: $x^{a}x^{b}x^{c}....=x^{a+b+c....}$

So:
$n^{\frac{4}{3}}n^{\frac{2}{3}}n^{\frac{1}{3}}n^{\frac{7}{3}}=n^{\frac{4}{3}+\frac{2}{3}+\frac{1}{3}+\frac{7}{3}}=n^{\frac{14}{3}}=n^{4\frac{2}{3}}$