Basic Math Examples

32 {cm}^{2} = n ({2.54}^{3})

$32 {cm}^{2} = n ({2.54}^{3})$

Step 1

Rewrite the equation as

n ({2.54}^{3}) = 32 {cm}^{2}

$n ({2.54}^{3}) = 32 {cm}^{2}$ .

n ({2.54}^{3}) = 32 {cm}^{2}

$n ({2.54}^{3}) = 32 {cm}^{2}$

Step 2

Divide each term in

n ({2.54}^{3}) = 32 {cm}^{2}

$n ({2.54}^{3}) = 32 {cm}^{2}$ by

{2.54}^{3}

${2.54}^{3}$ and simplify.

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Step 2.1

Divide each term in

n ({2.54}^{3}) = 32 {cm}^{2}

$n ({2.54}^{3}) = 32 {cm}^{2}$ by

{2.54}^{3}

${2.54}^{3}$ .

\frac{n \cdot {2.54}^{3}}{{2.54}^{3}} = \frac{32 {cm}^{2}}{{2.54}^{3}}

$\frac{n \cdot {2.54}^{3}}{{2.54}^{3}} = \frac{32 {cm}^{2}}{{2.54}^{3}}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of

{2.54}^{3}

${2.54}^{3}$ .

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Step 2.2.1.1

Cancel the common factor.

\frac{n \cdot {2.54}^{3}}{{2.54}^{3}} = \frac{32 {cm}^{2}}{{2.54}^{3}}

$\frac{n \cdot {2.54}^{3}}{{2.54}^{3}} = \frac{32 {cm}^{2}}{{2.54}^{3}}$

Step 2.2.1.2

Divide

n

$n$ by

1

$1$ .

n = \frac{32 {cm}^{2}}{{2.54}^{3}}

$n = \frac{32 {cm}^{2}}{{2.54}^{3}}$

n = \frac{32 {cm}^{2}}{{2.54}^{3}}

$n = \frac{32 {cm}^{2}}{{2.54}^{3}}$

n = \frac{32 {cm}^{2}}{{2.54}^{3}}

$n = \frac{32 {cm}^{2}}{{2.54}^{3}}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Raise

2.54

$2.54$ to the power of

3

$3$ .

n = \frac{32 {cm}^{2}}{16.387064}

$n = \frac{32 {cm}^{2}}{16.387064}$

Step 2.3.2

Multiply by

1

$1$ .

n = \frac{1 (32 {cm}^{2})}{16.387064}

$n = \frac{1 (32 {cm}^{2})}{16.387064}$

Step 2.3.3

Factor

16.387064

$16.387064$ out of

16.387064

$16.387064$ .

n = \frac{1 (32 {cm}^{2})}{16.387064 (1)}

$n = \frac{1 (32 {cm}^{2})}{16.387064 (1)}$

Step 2.3.4

Separate fractions.

n = \frac{1}{16.387064} \cdot \frac{32 {cm}^{2}}{1}

$n = \frac{1}{16.387064} \cdot \frac{32 {cm}^{2}}{1}$

Step 2.3.5

Divide

1

$1$ by

16.387064

$16.387064$ .

n = 0.06102374 \frac{32 {cm}^{2}}{1}

$n = 0.06102374 \frac{32 {cm}^{2}}{1}$

Step 2.3.6

Divide

32 {cm}^{2}

$32 {cm}^{2}$ by

1

$1$ .

n = 0.06102374 (32 {cm}^{2})

$n = 0.06102374 (32 {cm}^{2})$

n = 0.06102374 (32 {cm}^{2})

$n = 0.06102374 (32 {cm}^{2})$

n = 0.06102374 (32 {cm}^{2})

$n = 0.06102374 (32 {cm}^{2})$

Step 3

Multiply

32

$32$ by

0.06102374

$0.06102374$ .

n = 1.95275981 {cm}^{2}

$n = 1.95275981 {cm}^{2}$