Chemistry Examples

$m a s \cdot s - - (- v o l u m e (s t o i c h i o m e t r y))$

Step 1

Replace all occurrences of $-$ $-$ with a single $+$ . Two consecutive minus signs have the same mathematical meaning as a single plus sign because $- 1 \cdot - 1 = 1$

$m a s \cdot s - v o l u m e (s t o i c h i o m e t r y)$

Step 2

Remove parentheses.

$m a s \cdot s - v o l u m e (s t o i c h i o m e t r y)$

Step 3

Simplify each term.

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Step 3.1

Multiply $s$ by $s$ by adding the exponents.

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Step 3.1.1

Move $s$ .

$m a (s \cdot s) - v o l u m e (s t o i c h i o m e t r y)$

Step 3.1.2

Multiply $s$ by $s$ .

$m a s^{2} - v o l u m e (s t o i c h i o m e t r y)$

Step 3.2

Multiply $o$ by $o$ by adding the exponents.

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Step 3.2.1

Move $o$ .

$m a s^{2} - v (o \cdot o) l u m e (s t i c h i o m e t r y)$

Step 3.2.2

Multiply $o$ by $o$ .

$m a s^{2} - v o^{2} l u m e (s t i c h i o m e t r y)$

Step 3.3

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

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Step 3.3.1

Move $o$ .

$m a s^{2} - v (o \cdot o^{2}) l u m e (s t i c h i m e t r y)$

Step 3.3.2

Multiply $o$ by $o^{2}$ .

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Step 3.3.2.1

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

$m a s^{2} - v (o^{1} o^{2}) l u m e (s t i c h i m e t r y)$

Step 3.3.2.2

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

$m a s^{2} - v o^{1 + 2} l u m e (s t i c h i m e t r y)$

Step 3.3.3

Add $1$ and $2$ .

$m a s^{2} - v o^{3} l u m e (s t i c h i m e t r y)$

Step 3.4

Multiply $m$ by $m$ by adding the exponents.

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Step 3.4.1

Move $m$ .

$m a s^{2} - v o^{3} l u (m \cdot m) e (s t i c h i e t r y)$

Step 3.4.2

Multiply $m$ by $m$ .

$m a s^{2} - v o^{3} l u m^{2} e (s t i c h i e t r y)$

Step 3.5

Multiply $t$ by $t$ by adding the exponents.

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Step 3.5.1

Move $t$ .

$m a s^{2} - v o^{3} l u m^{2} e (s (t \cdot t) i c h i e r y)$

Step 3.5.2

Multiply $t$ by $t$ .

$m a s^{2} - v o^{3} l u m^{2} e (s t^{2} i c h i e r y)$

Step 3.6

Multiply $s t^{2} i c h i$ .

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Step 3.6.1

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

$m a s^{2} - v o^{3} l u m^{2} e (s t^{2} c h (i^{1} i) e r y)$

Step 3.6.2

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

$m a s^{2} - v o^{3} l u m^{2} e (s t^{2} c h (i^{1} i^{1}) e r y)$

Step 3.6.3

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

$m a s^{2} - v o^{3} l u m^{2} e (s t^{2} c h i^{1 + 1} e r y)$

Step 3.6.4

Add $1$ and $1$ .

$m a s^{2} - v o^{3} l u m^{2} e (s t^{2} c h i^{2} e r y)$

Step 3.7

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

$m a s^{2} - v o^{3} l u m^{2} e (s t^{2} c h \cdot - 1 e r y)$

Step 3.8

Move $- 1$ to the left of $s t^{2} c h$ .

$m a s^{2} - v o^{3} l u m^{2} e (- 1 \cdot (s t^{2} c h) e r y)$

Step 3.9

Rewrite $- 1 (s t^{2} c h)$ as $- (s t^{2} c h)$ .

$m a s^{2} - v o^{3} l u m^{2} e (- (s t^{2} c h) e r y)$

Step 3.10

Multiply $- v o^{3} l u m^{2} e (- s t^{2} c h e r y)$ .

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Step 3.10.1

Multiply $- 1$ by $- 1$ .

$m a s^{2} + 1 v o^{3} l u m^{2} e (s t^{2} c h e r y)$

Step 3.10.2

Multiply $v$ by $1$ .

$m a s^{2} + v o^{3} l u m^{2} e (s t^{2} c h e r y)$

Step 3.10.3

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

$m a s^{2} + v o^{3} l u m^{2} (s t^{2} c h (e^{1} e) r y)$

Step 3.10.4

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

$m a s^{2} + v o^{3} l u m^{2} (s t^{2} c h (e^{1} e^{1}) r y)$

Step 3.10.5

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

$m a s^{2} + v o^{3} l u m^{2} (s t^{2} c h e^{1 + 1} r y)$

Step 3.10.6

Add $1$ and $1$ .

$m a s^{2} + v o^{3} l u m^{2} (s t^{2} c h e^{2} r y)$

Step 3.11

Rewrite using the commutative property of multiplication.

$m a s^{2} + e^{2} v o^{3} l u m^{2} s t^{2} c h r y$