Simplify (5*2-3^2)/((3^2-(-2))^2)

$\frac{5 \cdot 2 - 3^{2}}{{(3^{2} - (- 2))}^{2}}$

Simplify the numerator.

Multiply $5$ by $2$ .

$\frac{10 - 3^{2}}{{(3^{2} - (- 2))}^{2}}$

Raise $3$ to the power of $2$ .

$\frac{10 - 1 \cdot 9}{{(3^{2} - (- 2))}^{2}}$

Multiply $- 1$ by $9$ .

$\frac{10 - 9}{{(3^{2} - (- 2))}^{2}}$

Subtract $9$ from $10$ .

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

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

Simplify the denominator.

Raise $3$ to the power of $2$ .

$\frac{1}{{(9 - (- 2))}^{2}}$

Multiply $- 1$ by $- 2$ .

$\frac{1}{{(9 + 2)}^{2}}$

Add $9$ and $2$ .

$\frac{1}{11^{2}}$

Raise $11$ to the power of $2$ .

$\frac{1}{121}$

$\frac{1}{121}$

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{121}$

Decimal Form:

$0.00826446 \dots$

Related Questions