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Popular >

simplify (0.45^2)/(2.57^2)

Solution

simplify

\frac{0.4 5 ^{2}}{2.5 7 ^{2}}

Solution

0.03065 \dots

Solution steps

\frac{0.4 5 ^{2}}{2.5 7 ^{2}}

Apply exponent rule:

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

\frac{0.4 5 ^{2}}{2.5 7 ^{2}} = (\frac{0.45}{2.57})^{2}

= (\frac{0.45}{2.57})^{2}

Apply exponent rule:

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

= \frac{0.4 5 ^{2}}{2.5 7 ^{2}}

0.4 5^{2} = 0.2025

= \frac{0.2025}{2.5 7 ^{2}}

2.5 7^{2} = 6.6049

= \frac{0.2025}{6.6049}

Divide the numbers:

\frac{0.2025}{6.6049} = 0.03065 \dots

= 0.03065 \dots

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Frequently Asked Questions (FAQ)

What is (0.45^2)/(2.57^2) ?
The solution to (0.45^2)/(2.57^2) is 0.03065…