Answer :

GinnyAnswer
Sure! Let's solve the division step by step.

Given the expression:

[tex]\[ \frac{10 \times 10^{-6}}{5 \times 10^{-5}} \][/tex]

First, let's write out the numerator and the denominator in a more recognizable form. We have:

Numerator: [tex]\( 10 \times 10^{-6} \)[/tex]
Denominator: [tex]\( 5 \times 10^{-5} \)[/tex]

Next, let's simplify both the numerator and the denominator:

Numerator: [tex]\(10 \times 10^{-6} = 10^{-5} \)[/tex]
Denominator: [tex]\(5 \times 10^{-5} = 5 \times 10^{-5} \)[/tex]

Now we perform the division:

[tex]\[ \frac{10 \times 10^{-6}}{5 \times 10^{-5}} = \frac{10^{-5}}{5 \times 10^{-5}} \][/tex]

This is equivalent to:

[tex]\[ \frac{10 \times 10^{-6}}{5 \times 10^{-5}} = \frac{10}{5} \times \frac{10^{-6}}{10^{-5}} \][/tex]

Simplify the fractions separately:

[tex]\[ \frac{10}{5} = 2 \][/tex]

And:

[tex]\[ \frac{10^{-6}}{10^{-5}} = 10^{-1} \][/tex]

Combining these results, we have:

[tex]\[ 2 \times 10^{-1} = 0.2 \][/tex]

Hence, the final result is:

[tex]\[ 0.2 \][/tex]

So,

[tex]\[ \frac{10 \times 10^{-6}}{5 \times 10^{-5}} = 0.2 \][/tex]

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