# Math Help - Simplest index notation

1. ## Simplest index notation

$
Write$
$in$ $simplest$ $index$ $notation.$

$
\frac{8\times5^2}{2^3\times10}
$

Show complete working out.

2. Hello, Mr Rayon!

$\text{Write in simplest index notation: }\;\frac{8\cdot5^2}{2^3\cdot10}$
Not sure what "index notation" means.
. . I assume it means "with exponents."

The problem is just arithmetic, isn't it?

We have: . $\frac{8\cdot5^2}{2^3\cdot10} \:=\:\frac{200}{80} \;=\;\frac{5}{2} \;=\;2^{-1}\!\cdot5$

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If we have to use exponents . . .

. . $\frac{8\cdot5^2}{2^3\cdot10} \;=\;\frac{2^3\cdot 5^2}{2^3\cdot(2\cdot5)} \;=\;\frac{2^3}{2^4}\cdot\frac{5^2}{5} \;=\;2^{-1}\!\cdot5$

3. 8 * 25 / 8 * 10 = 200 / 80 = 2.5

4. This was a silly question. I realised the answer a second after I made this post. The answer was $\frac{5}{2}$