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Popular >

simplify ((-8.1)^2)/((5.9-1)^2)

Solution

simplify

\frac{( - 8.1 ) ^{2}}{( 5.9 - 1 ) ^{2}}

Solution

2.73261 \dots

Solution steps

\frac{( - 8.1 ) ^{2}}{( 5.9 - 1 ) ^{2}}

Apply exponent rule:

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

\frac{( - 8.1 ) ^{2}}{( 5.9 - 1 ) ^{2}} = (\frac{- 8.1}{5.9 - 1})^{2}

= (\frac{- 8.1}{5.9 - 1})^{2}

\frac{- 8.1}{5.9 - 1} = - \frac{8.1}{4.9}

= (- \frac{8.1}{4.9})^{2}

Apply exponent rule:

(- a)^{n} = a^{n},

if

n

is even

(- \frac{8.1}{4.9})^{2} = (\frac{8.1}{4.9})^{2}

= (\frac{8.1}{4.9})^{2}

Apply exponent rule:

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

= \frac{8. 1 ^{2}}{4. 9 ^{2}}

8. 1^{2} = 65.61

= \frac{65.61}{4. 9 ^{2}}

4. 9^{2} = 24.01

= \frac{65.61}{24.01}

Divide the numbers:

\frac{65.61}{24.01} = 2.73261 \dots

= 2.73261 \dots

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Frequently Asked Questions (FAQ)

What is ((-8.1)^2)/((5.9-1)^2) ?
The solution to ((-8.1)^2)/((5.9-1)^2) is 2.73261…