Finite Math Examples

$- 2 + {(\frac{7}{8})}^{2}$

Step 1

Simplify each term.

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Step 1.1

Apply the product rule to $\frac{7}{8}$ .

$- 2 + \frac{7^{2}}{8^{2}}$

Step 1.2

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

$- 2 + \frac{49}{8^{2}}$

Step 1.3

Raise $8$ to the power of $2$ .

$- 2 + \frac{49}{64}$

Step 2

To write $- 2$ as a fraction with a common denominator, multiply by $\frac{64}{64}$ .

$- 2 \cdot \frac{64}{64} + \frac{49}{64}$

Step 3

Combine $- 2$ and $\frac{64}{64}$ .

$\frac{- 2 \cdot 64}{64} + \frac{49}{64}$

Step 4

Combine the numerators over the common denominator.

$\frac{- 2 \cdot 64 + 49}{64}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $- 2$ by $64$ .

$\frac{- 128 + 49}{64}$

Step 5.2

Add $- 128$ and $49$ .

$\frac{- 79}{64}$

Step 6

Move the negative in front of the fraction.

$- \frac{79}{64}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{79}{64}$

Decimal Form:

$- 1.234375$

Mixed Number Form:

$- 1 \frac{15}{64}$