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Popular >

simplify ((1.3^2-1)^2)/(1.3^2)

Solution

simplify

\frac{( 1. 3 ^{2} - 1 ) ^{2}}{1. 3 ^{2}}

Solution

0.28171 \dots

Solution steps

\frac{( 1. 3 ^{2} - 1 ) ^{2}}{1. 3 ^{2}}

Apply exponent rule:

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

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

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

1. 3^{2} - 1 = 0.69

= (\frac{0.69}{1.3})^{2}

Apply exponent rule:

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

= \frac{0.6 9 ^{2}}{1. 3 ^{2}}

0.6 9^{2} = 0.4761

= \frac{0.4761}{1. 3 ^{2}}

1. 3^{2} = 1.69

= \frac{0.4761}{1.69}

Divide the numbers:

\frac{0.4761}{1.69} = 0.28171 \dots

= 0.28171 \dots

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Frequently Asked Questions (FAQ)

What is ((1.3^2-1)^2)/(1.3^2) ?
The solution to ((1.3^2-1)^2)/(1.3^2) is 0.28171…