Question

Simplify: [2 MARKS]

$2^5\times 3\times 4^2\times 5$

Answer 1

Steps: 1 Mark
Answer: 1 Mark

Given equation is:

$2^5\times 3\times 4^2\times 5$

$=2^5\times 3\times (2^2{)}^2\times 5$

$=2^5\times 3\times 2^4\times 5$

$\because (a^m{)}^n=a^{mn}$

$=2^{5+4}\times 3\times 5$

$\because a^m\times a^n=a^{m+n}$

$=2^9\times 3\times 5$

$=2^9\times 3\times 5$

$=7680$