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Popular >

simplify (1.3^2)/(0.3^2)

Solution

simplify

\frac{1. 3 ^{2}}{0. 3 ^{2}}

Solution

18.77777 \dots

Solution steps

\frac{1. 3 ^{2}}{0. 3 ^{2}}

Apply exponent rule:

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

\frac{1. 3 ^{2}}{0. 3 ^{2}} = (\frac{1.3}{0.3})^{2}

= (\frac{1.3}{0.3})^{2}

Apply exponent rule:

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

= \frac{1. 3 ^{2}}{0. 3 ^{2}}

1. 3^{2} = 1.69

= \frac{1.69}{0. 3 ^{2}}

0. 3^{2} = 0.09

= \frac{1.69}{0.09}

Divide the numbers:

\frac{1.69}{0.09} = 18.77777 \dots

= 18.77777 \dots

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Frequently Asked Questions (FAQ)

What is (1.3^2)/(0.3^2) ?
The solution to (1.3^2)/(0.3^2) is 18.77777…