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Popular >

simplify (0.01^2)/(0.06^2)

Solution

simplify

\frac{0.0 1 ^{2}}{0.0 6 ^{2}}

Solution

0.02777 \dots

Solution steps

\frac{0.0 1 ^{2}}{0.0 6 ^{2}}

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

\frac{0.0 1 ^{2}}{0.0 6 ^{2}} = (\frac{0.01}{0.06})^{2}

= (\frac{0.01}{0.06})^{2}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{0.0 1 ^{2}}{0.0 6 ^{2}}

0.0 1^{2} = 0.0001

= \frac{0.0001}{0.0 6 ^{2}}

0.0 6^{2} = 0.0036

= \frac{0.0001}{0.0036}

Divide the numbers:

\frac{0.0001}{0.0036} = 0.02777 \dots

= 0.02777 \dots

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Frequently Asked Questions (FAQ)

What is (0.01^2)/(0.06^2) ?
The solution to (0.01^2)/(0.06^2) is 0.02777…