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Popular >

simplify (3.001^2)/(1.51^2)

Solution

simplify

\frac{3.00 1 ^{2}}{1.5 1 ^{2}}

Solution

3.94982 \dots

Solution steps

\frac{3.00 1 ^{2}}{1.5 1 ^{2}}

Apply exponent rule:

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

\frac{3.00 1 ^{2}}{1.5 1 ^{2}} = (\frac{3.001}{1.51})^{2}

= (\frac{3.001}{1.51})^{2}

Apply exponent rule:

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

= \frac{3.00 1 ^{2}}{1.5 1 ^{2}}

3.00 1^{2} = 9.006001

= \frac{9.006001}{1.5 1 ^{2}}

1.5 1^{2} = 2.2801

= \frac{9.006001}{2.2801}

Divide the numbers:

\frac{9.006001}{2.2801} = 3.94982 \dots

= 3.94982 \dots

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Frequently Asked Questions (FAQ)

What is (3.001^2)/(1.51^2) ?
The solution to (3.001^2)/(1.51^2) is 3.94982…