Basic Math Examples

$\frac{10 - 7^{2}}{2^{2} + 9^{2}}$

Step 1

Simplify the numerator.

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Step 1.1

Raise $7$ to the power of $2$ .

$\frac{10 - 1 \cdot 49}{2^{2} + 9^{2}}$

Step 1.2

Multiply $- 1$ by $49$ .

$\frac{10 - 49}{2^{2} + 9^{2}}$

Step 1.3

Subtract $49$ from $10$ .

$\frac{- 39}{2^{2} + 9^{2}}$

$\frac{- 39}{2^{2} + 9^{2}}$

Step 2

Simplify the denominator.

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Step 2.1

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

$\frac{- 39}{4 + 9^{2}}$

Step 2.2

Raise $9$ to the power of $2$ .

$\frac{- 39}{4 + 81}$

Step 2.3

Add $4$ and $81$ .

$\frac{- 39}{85}$

$\frac{- 39}{85}$

Step 3

Move the negative in front of the fraction.

$- \frac{39}{85}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- \frac{39}{85}$

Decimal Form:

$- 0.45882352 \dots$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$