Algebra Examples

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

Step 1

Move the negative in front of the fraction.

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

Step 2

Use the power rule ${(a b)}^{n} = a^{n} b^{n}$ to distribute the exponent.

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Step 2.1

Apply the product rule to $- \frac{5}{2}$ .

${(- 1)}^{2} {(\frac{5}{2})}^{2}$

Step 2.2

Apply the product rule to $\frac{5}{2}$ .

${(- 1)}^{2} \frac{5^{2}}{2^{2}}$

Step 3

Raise $- 1$ to the power of $2$ .

$1 \frac{5^{2}}{2^{2}}$

Step 4

Multiply $\frac{5^{2}}{2^{2}}$ by $1$ .

$\frac{5^{2}}{2^{2}}$

Step 5

Raise $5$ to the power of $2$ .

$\frac{25}{2^{2}}$

Step 6

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

$\frac{25}{4}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{25}{4}$

Decimal Form:

$6.25$

Mixed Number Form:

$6 \frac{1}{4}$