Question

Solve for x = 6.
$\frac{\left(45x^{-4}\right)}{(5^{-4}\times {10}^2\times x^{-8})}$ [4 MARKS]

Answer 1

Concept: 1 Mark
Application: 3 Mark

$=\frac{\left(45x^{-4}\right)}{(5^{-4}\times {10}^2\times x^{-8})}$

$=\frac{\left(45x^4\right)}{(5^{-4}\times {10}^2)}$

$=\frac{(45x^4\times 25)}{4}$

$=\frac{\left(1125x^4\right)}{4}$

$x=6$

$=\frac{\left(1125\right(6^4\left)\right)}{4}$

$=\frac{(1125\times 1296)}{4}$

$=364500$

$=3.645\times {10}^5$