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Popular >

simplify (0.07^2)/(0.075^2)

Solution

simplify

\frac{0.0 7 ^{2}}{0.07 5 ^{2}}

Solution

0.87111 \dots

Solution steps

\frac{0.0 7 ^{2}}{0.07 5 ^{2}}

Apply exponent rule:

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

\frac{0.0 7 ^{2}}{0.07 5 ^{2}} = (\frac{0.07}{0.075})^{2}

= (\frac{0.07}{0.075})^{2}

Apply exponent rule:

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

= \frac{0.0 7 ^{2}}{0.07 5 ^{2}}

0.0 7^{2} = 0.0049

= \frac{0.0049}{0.07 5 ^{2}}

0.07 5^{2} = 0.005625

= \frac{0.0049}{0.005625}

Divide the numbers:

\frac{0.0049}{0.005625} = 0.87111 \dots

= 0.87111 \dots

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Frequently Asked Questions (FAQ)

What is (0.07^2)/(0.075^2) ?
The solution to (0.07^2)/(0.075^2) is 0.87111…