Algebra Examples

${(- \frac{5}{4})}^{2}$

Step 1

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

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Step 1.1

Apply the product rule to $- \frac{5}{4}$ .

${(- 1)}^{2} {(\frac{5}{4})}^{2}$

Step 1.2

Apply the product rule to $\frac{5}{4}$ .

${(- 1)}^{2} \frac{5^{2}}{4^{2}}$

Step 2

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

$1 \frac{5^{2}}{4^{2}}$

Step 3

Multiply $\frac{5^{2}}{4^{2}}$ by $1$ .

$\frac{5^{2}}{4^{2}}$

Step 4

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

$\frac{25}{4^{2}}$

Step 5

Raise $4$ to the power of $2$ .

$\frac{25}{16}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{25}{16}$

Decimal Form:

$1.5625$

Mixed Number Form:

$1 \frac{9}{16}$