What is ((8x10^3))/((2x10^5)) ?

The solution to ((8x10^3))/((2x10^5)) is 1/25

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simplify ((8x10^3))/((2x10^5))

simplify

\frac{( 8 x 1 0 ^{3} )}{( 2 x 1 0 ^{5} )}

\frac{1}{25}

Decimal Notation

0.04

Solution steps

\frac{8 x \cdot 1 0 ^{3}}{2 x \cdot 1 0 ^{5}}

Cancel the common factor:

x

= \frac{8 \cdot 1 0 ^{3}}{2 \cdot 1 0 ^{5}}

\frac{1 0 ^{3}}{1 0 ^{5}} = \frac{1}{1 0 ^{2}}

= \frac{8}{2 \cdot 1 0 ^{2}}

Factor the number:

8 = 2 \cdot 4

= \frac{2 \cdot 4}{2 \cdot 1 0 ^{2}}

Cancel the common factor:

2

= \frac{4}{1 0 ^{2}}

Factor the number:

4 = 2^{2}

= \frac{2 ^{2}}{1 0 ^{2}}

Factor

1 0^{2} : 2^{2} \cdot 5^{2}

= \frac{2 ^{2}}{2 ^{2} \cdot 5 ^{2}}

Cancel the common factor:

2^{2}

= \frac{1}{5 ^{2}}

5^{2} = 25

= \frac{1}{25}

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