How do you write and simplify 1.30 times 10^4 div 6.5 times 10^-5 in scientific notation?

Jun 6, 2016

$2 \times {10}^{8}$

Explanation:

Firstly, I will assume that there were meant to be brackets to indicate 2 numbers being divided:
(1.30 xx 10^4)÷(6.5 xx 10^-5)

One method is to write the calculation in fraction form:
$\frac{1.30 \times {10}^{4}}{6.5 \times {10}^{-} 5}$

Now divide and use laws of indices with the powers of 10. This gives:
$0.2 \times {10}^{9}$ But this is not in standard from, so you need to adjust the answer by moving the decimal one place to the left and reducing the power by one.

$0.2 \times {10}^{9} = 2 \times {10}^{8}$

Another method is to write the calculation differently:

(1.30 ÷ 6.5 xx 10^4÷ 10^-5)

This leads to the same result as before.