Basic Math Examples

$3 cm a r e a = 39 {cm}^{2} C cm$

Step 1

Simplify.

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Step 1.1

Raise $a$ to the power of $1$ .

$3 cm (a^{1} a) r e = 39 {cm}^{2} C cm$

Step 1.2

Raise $a$ to the power of $1$ .

$3 cm (a^{1} a^{1}) r e = 39 {cm}^{2} C cm$

Step 1.3

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$3 cm a^{1 + 1} r e = 39 {cm}^{2} C cm$

Step 1.4

Add $1$ and $1$ .

$3 cm a^{2} r e = 39 {cm}^{2} C cm$

Step 2

Divide each term in $3 cm a^{2} r e = 39 {cm}^{2} C cm$ by $a^{2} r e$ and simplify.

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Step 2.1

Divide each term in $3 cm a^{2} r e = 39 {cm}^{2} C cm$ by $a^{2} r e$ .

$\frac{3 cm a^{2} r e}{a^{2} r e} = \frac{39 {cm}^{2} C cm}{a^{2} r e}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $a^{2}$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{3 cm a^{2} r e}{a^{2} r e} = \frac{39 {cm}^{2} C cm}{a^{2} r e}$

Step 2.2.1.2

Rewrite the expression.

$\frac{3 cm r e}{r e} = \frac{39 {cm}^{2} C cm}{a^{2} r e}$

Step 2.2.2

Cancel the common factor of $r$ .

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Step 2.2.2.1

Cancel the common factor.

$\frac{3 cm r e}{r e} = \frac{39 {cm}^{2} C cm}{a^{2} r e}$

Step 2.2.2.2

Rewrite the expression.

$\frac{3 cm e}{e} = \frac{39 {cm}^{2} C cm}{a^{2} r e}$

Step 2.2.3

Cancel the common factor of $e$ .

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Step 2.2.3.1

Cancel the common factor.

$\frac{3 cm e}{e} = \frac{39 {cm}^{2} C cm}{a^{2} r e}$

Step 2.2.3.2

Divide $3 cm$ by $1$ .

$3 cm = \frac{39 {cm}^{2} C cm}{a^{2} r e}$

Step 3

Simplify $3 cm = \frac{39 {cm}^{2} C cm}{a^{2} r e}$ .

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Step 3.1

Multiply ${cm}^{2}$ by $cm$ by adding the exponents.

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Step 3.1.1

Move $cm$ .

$3 cm = \frac{39 (cm {cm}^{2}) C}{a^{2} r e}$

Step 3.1.2

Combine units.

$3 cm = \frac{39 {cm}^{3} C}{a^{2} r e}$

Step 3.2

Rewrite the expression.

$3 cm = \frac{39 C}{a^{2} r e} {cm}^{3}$