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Popular >

simplify (11.3^2)/(2.3^2)

Solution

simplify

\frac{11. 3 ^{2}}{2. 3 ^{2}}

Solution

24.13799 \dots

Solution steps

\frac{11. 3 ^{2}}{2. 3 ^{2}}

Apply exponent rule:

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

\frac{11. 3 ^{2}}{2. 3 ^{2}} = (\frac{11.3}{2.3})^{2}

= (\frac{11.3}{2.3})^{2}

Apply exponent rule:

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

= \frac{11. 3 ^{2}}{2. 3 ^{2}}

11. 3^{2} = 127.69

= \frac{127.69}{2. 3 ^{2}}

2. 3^{2} = 5.29

= \frac{127.69}{5.29}

Divide the numbers:

\frac{127.69}{5.29} = 24.13799 \dots

= 24.13799 \dots

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Frequently Asked Questions (FAQ)

What is (11.3^2)/(2.3^2) ?
The solution to (11.3^2)/(2.3^2) is 24.13799…