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-|(3)/(11)-3^(2)|

$-\left|\frac{3}{11}-3^{2}\right|$

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Evaluate integers raised to rational exponents

Full solution

Q.

-\left|\frac{3}{11}-3^{2}\right|

Calculate square of $3$ : First, calculate the square of $3$ , which is $3^2$ . $3^2 = 9$
Subtract from $(3)/(11)$ : Next, subtract $3^2$ from $(3)/(11)$ . $(3)/(11) - 9$
Simplify the subtraction: Now, simplify the subtraction. $\frac{3}{11} - 9 = \frac{3}{11} - \frac{99}{11}$
Combine the fractions: Combine the fractions. $\frac{3}{11} - \frac{99}{11} = \frac{-96}{11}$
Take absolute value: Take the absolute value of the result. $\newline$ $|-\frac{96}{11}| = \frac{96}{11}$
Apply negative sign: Finally, apply the negative sign outside the absolute value. $\newline$ $-|(-96)/(11)| = -(96/11)$

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