Question

Simplify : [3 MARKS]

$\frac{3^8\times 4^5\times 3^2\times 5^4\times 7^5}{3^9\times 4^4\times 7^5}$

Answer 1

Concept: 1 Mark
Steps: 1 Mark
Answer: 1 Mark

Given,

$\frac{3^8\times 4^5\times 3^2\times 5^4\times 7^5}{3^9\times 4^4\times 7^5}$

$=\frac{3^{8+2}\times 4^5\times 5^4\times 7^5}{3^9\times 4^4\times 7^5}$
[ $\because a^m\times a^n=a^{m+n}$]

$=3^{10-9}\times 4^{5-4}\times 5^4\times 7^{5-5}$
[ $\because \frac{a^m}{a^n}=a^{m-n}$]

$=3^1\times 4^1\times 5^4\times 7^0$

$=3\times 4\times 5^4$ [ $\because a^0=1$]

$=7500$