Question

Simplify and express each of the following in exponential form :

(vi) $\frac{3^7}{3^4\times 3^3}$

Answer 1

Simplifying and expressing in exponential form :

$\frac{3^7}{3^4\times 3^3}=\frac{3^7}{3^{4+3}}$

$\frac{3^7}{3^4\times 3^3}=\frac{3^7}{3^7}$

$\frac{3^7}{3^4\times 3^3}=3^{7-7}$

$\frac{3^7}{3^4\times 3^3}=3^0=1$

Hence, the simplified exponential form of $\frac{3^7}{3^4\times 3^3}$ is $1$.