Question

Simplify and express the following in exponential form:
$\frac{2^3\times 3^4\times 4}{3\times 32}$ [3 marks]

Answer 1

$\frac{2^3\times 3^4\times 4}{3\times 32}=\frac{2^{3+2}\times 3^4}{3\times 2^5}[\because a^m\times a^n=a^{m+n}]$ (0.5 marks)

=$\frac{2^3\times 3^4\times 2^2}{3\times 2^5}$ (0.5 marks)

=$\frac{2^5\times 3^4}{3\times 2^5}$ (0.5 marks)

=$2^{5-5}\times 3^{4-1}[\because a^m÷a^n=a^{m-n}]$ (0.5 marks)

=$2^0\times 3^3$ (0.5 marks)

=$1\times 3^3=3^3$ (0.5 marks)