Basic Math Examples

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

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

Step 1

Move the negative in front of the fraction.

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

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

Step 2

Use the power rule

{(a b)}^{n} = a^{n} b^{n}

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

Tap for more steps...

Step 2.1

Apply the product rule to

- \frac{5}{4}

$- \frac{5}{4}$ .

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

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

Step 2.2

Apply the product rule to

\frac{5}{4}

$\frac{5}{4}$ .

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

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

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

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

Step 3

Raise

- 1

$- 1$ to the power of

2

$2$ .

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

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

Step 4

Multiply

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

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

1

$1$ .

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

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

Step 5

Raise

5

$5$ to the power of

2

$2$ .

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

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

Step 6

Raise

4

$4$ to the power of

2

$2$ .

\frac{25}{16}

$\frac{25}{16}$

Step 7

The result can be shown in multiple forms.

Exact Form:

\frac{25}{16}

$\frac{25}{16}$

Decimal Form:

1.5625

$1.5625$

Mixed Number Form:

1 \frac{9}{16}

$1 \frac{9}{16}$

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

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

(

(

)

)

|

|

[

[

]

]

√

√





≥

≥













π

π





7

7

8

8

9

9













≤

≤





















4

4

5

5

6

6

/

/

^

^

×

×

>

>













!

!





1

1

2

2

3

3

-

-

+

+

÷

÷

<

<



















,

,

0

0

.

.

%

%



=

=









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

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