Pre-Algebra Examples

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

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 $- \frac{5}{2}$ .

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

Step 1.2

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

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

Step 2

Raise $- 1$ to the power of $5$ .

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

Step 3

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

$- \frac{3125}{2^{5}}$

Step 4

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

$- \frac{3125}{32}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{3125}{32}$

Decimal Form:

$- 97.65625$

Mixed Number Form:

$- 97 \frac{21}{32}$