Basic Math Examples

$21 (f i v e) \cdot (13 (f i v e))$

Step 1

Multiply $f$ by $f$ by adding the exponents.

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Step 1.1

Move $f$ .

$21 (f \cdot f i v e) \cdot (13 (i v e))$

Step 1.2

Multiply $f$ by $f$ .

$21 (f^{2} i v e) \cdot (13 (i v e))$

Step 2

Multiply $v$ by $v$ by adding the exponents.

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Step 2.1

Move $v$ .

$21 (f^{2} i (v \cdot v) e) \cdot (13 (i e))$

Step 2.2

Multiply $v$ by $v$ .

$21 (f^{2} i v^{2} e) \cdot (13 (i e))$

Step 3

Multiply $21 f^{2} i v^{2} e (13 i e)$ .

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Step 3.1

Multiply $13$ by $21$ .

$273 f^{2} i v^{2} e (i e)$

Step 3.2

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

$273 f^{2} v^{2} e (i^{1} i e)$

Step 3.3

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

$273 f^{2} v^{2} e (i^{1} i^{1} e)$

Step 3.4

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

$273 f^{2} v^{2} e (i^{1 + 1} e)$

Step 3.5

Add $1$ and $1$ .

$273 f^{2} v^{2} e (i^{2} e)$

Step 3.6

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

$273 f^{2} v^{2} (e^{1} e) i^{2}$

Step 3.7

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

$273 f^{2} v^{2} (e^{1} e^{1}) i^{2}$

Step 3.8

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

$273 f^{2} v^{2} e^{1 + 1} i^{2}$

Step 3.9

Add $1$ and $1$ .

$273 f^{2} v^{2} e^{2} i^{2}$

Step 4

Rewrite $i^{2}$ as $- 1$ .

$273 f^{2} v^{2} e^{2} \cdot - 1$

Step 5

Multiply $- 1$ by $273$ .

$- 273 f^{2} v^{2} e^{2}$