What is (0.858^2)/(1.252^2) ?

The solution to (0.858^2)/(1.252^2) is 0.46964…

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simplify (0.858^2)/(1.252^2)

simplify

\frac{0.85 8 ^{2}}{1.25 2 ^{2}}

0.46964 \dots

Solution steps

\frac{0.85 8 ^{2}}{1.25 2 ^{2}}

Apply exponent rule:

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

\frac{0.85 8 ^{2}}{1.25 2 ^{2}} = (\frac{0.858}{1.252})^{2}

= (\frac{0.858}{1.252})^{2}

Apply exponent rule:

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

= \frac{0.85 8 ^{2}}{1.25 2 ^{2}}

0.85 8^{2} = 0.736164

= \frac{0.736164}{1.25 2 ^{2}}

1.25 2^{2} = 1.567504

= \frac{0.736164}{1.567504}

Divide the numbers:

\frac{0.736164}{1.567504} = 0.46964 \dots

= 0.46964 \dots

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