Chemistry Examples

$20 cm \cdot 20 cm \cdot 10 cm \cdot (d e ns i d a d e n) (e n) (l a) (t a lb l a) \cdot 3.7$

Step 1

Multiply $cm$ by $cm$ by adding the exponents.

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Step 1.1

Move $cm$ .

$20 (cm cm) \cdot 20 \cdot 10 cm \cdot ((d e ns i d a d e n) (e n) (l a) (t a lb l a)) \cdot 3.7$

Step 1.2

Combine units.

$20 {cm}^{2} \cdot 20 \cdot 10 cm \cdot ((d e ns i d a d e n) (e n) (l a) (t a lb l a)) \cdot 3.7$

Step 2

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

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Step 2.1

Move $cm$ .

$20 (cm {cm}^{2}) \cdot 20 \cdot 10 \cdot ((d e ns i d a d e n) (e n) (l a) (t a lb l a)) \cdot 3.7$

Step 2.2

Combine units.

$20 {cm}^{3} \cdot 20 \cdot 10 \cdot ((d e ns i d a d e n) (e n) (l a) (t a lb l a)) \cdot 3.7$

Step 3

Multiply $d$ by $d$ by adding the exponents.

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Step 3.1

Move $d$ .

$20 {cm}^{3} \cdot 20 \cdot 10 \cdot (d \cdot d e ns i a d e n (e n) (l a) (t a lb l a)) \cdot 3.7$

Step 3.2

Multiply $d$ by $d$ .

$20 {cm}^{3} \cdot 20 \cdot 10 \cdot (d^{2} e ns i a d e n (e n) (l a) (t a lb l a)) \cdot 3.7$

Step 4

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

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Step 4.1

Move $d$ .

$20 {cm}^{3} \cdot 20 \cdot 10 \cdot (d \cdot d^{2} e ns i a e n (e n) (l a) (t a lb l a)) \cdot 3.7$

Step 4.2

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

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Step 4.2.1

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

$20 {cm}^{3} \cdot 20 \cdot 10 \cdot (d^{1} d^{2} e ns i a e n (e n) (l a) (t a lb l a)) \cdot 3.7$

Step 4.2.2

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

$20 {cm}^{3} \cdot 20 \cdot 10 \cdot (d^{1 + 2} e ns i a e n (e n) (l a) (t a lb l a)) \cdot 3.7$

Step 4.3

Add $1$ and $2$ .

$20 {cm}^{3} \cdot 20 \cdot 10 \cdot (d^{3} e ns i a e n (e n) (l a) (t a lb l a)) \cdot 3.7$

Step 5

Multiply $e$ by $e$ by adding the exponents.

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Step 5.1

Move $e$ .

$20 {cm}^{3} \cdot 20 \cdot 10 \cdot (d^{3} (e e) ns i a n (e n) (l a) (t a lb l a)) \cdot 3.7$

Step 5.2

Multiply $e$ by $e$ .

$20 {cm}^{3} \cdot 20 \cdot 10 \cdot (d^{3} e^{2} ns i a n (e n) (l a) (t a lb l a)) \cdot 3.7$

Step 6

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

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Step 6.1

Move $e$ .

$20 {cm}^{3} \cdot 20 \cdot 10 \cdot (d^{3} (e e^{2}) ns i a n \cdot n (l a) (t a lb l a)) \cdot 3.7$

Step 6.2

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

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Step 6.2.1

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

$20 {cm}^{3} \cdot 20 \cdot 10 \cdot (d^{3} (e^{1} e^{2}) ns i a n \cdot n (l a) (t a lb l a)) \cdot 3.7$

Step 6.2.2

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

$20 {cm}^{3} \cdot 20 \cdot 10 \cdot (d^{3} e^{1 + 2} ns i a n \cdot n (l a) (t a lb l a)) \cdot 3.7$

Step 6.3

Add $1$ and $2$ .

$20 {cm}^{3} \cdot 20 \cdot 10 \cdot (d^{3} e^{3} ns i a n \cdot n (l a) (t a lb l a)) \cdot 3.7$

Step 7

Multiply $a$ by $a$ by adding the exponents.

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Step 7.1

Move $a$ .

$20 {cm}^{3} \cdot 20 \cdot 10 \cdot (d^{3} e^{3} ns i (a \cdot a) n \cdot n l (t a lb l a)) \cdot 3.7$

Step 7.2

Multiply $a$ by $a$ .

$20 {cm}^{3} \cdot 20 \cdot 10 \cdot (d^{3} e^{3} ns i a^{2} n \cdot n l (t a lb l a)) \cdot 3.7$

Step 8

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

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Step 8.1

Move $a$ .

$20 {cm}^{3} \cdot 20 \cdot 10 \cdot (d^{3} e^{3} ns i (a \cdot a^{2}) n \cdot n l (t lb l a)) \cdot 3.7$

Step 8.2

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

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Step 8.2.1

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

$20 {cm}^{3} \cdot 20 \cdot 10 \cdot (d^{3} e^{3} ns i (a^{1} a^{2}) n \cdot n l (t lb l a)) \cdot 3.7$

Step 8.2.2

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

$20 {cm}^{3} \cdot 20 \cdot 10 \cdot (d^{3} e^{3} ns i a^{1 + 2} n \cdot n l (t lb l a)) \cdot 3.7$

Step 8.3

Add $1$ and $2$ .

$20 {cm}^{3} \cdot 20 \cdot 10 \cdot (d^{3} e^{3} ns i a^{3} n \cdot n l (t lb l a)) \cdot 3.7$

Step 9

Multiply $a^{3}$ by $a$ by adding the exponents.

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Step 9.1

Move $a$ .

$20 {cm}^{3} \cdot 20 \cdot 10 \cdot (d^{3} e^{3} ns i (a \cdot a^{3}) n \cdot n l (t lb l)) \cdot 3.7$

Step 9.2

Multiply $a$ by $a^{3}$ .

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Step 9.2.1

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

$20 {cm}^{3} \cdot 20 \cdot 10 \cdot (d^{3} e^{3} ns i (a^{1} a^{3}) n \cdot n l (t lb l)) \cdot 3.7$

Step 9.2.2

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

$20 {cm}^{3} \cdot 20 \cdot 10 \cdot (d^{3} e^{3} ns i a^{1 + 3} n \cdot n l (t lb l)) \cdot 3.7$

Step 9.3

Add $1$ and $3$ .

$20 {cm}^{3} \cdot 20 \cdot 10 \cdot (d^{3} e^{3} ns i a^{4} n \cdot n l (t lb l)) \cdot 3.7$

Step 10

Multiply $n$ by $n$ by adding the exponents.

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Step 10.1

Move $n$ .

$20 {cm}^{3} \cdot 20 \cdot 10 \cdot (d^{3} e^{3} ns i a^{4} (n \cdot n) l (t lb l)) \cdot 3.7$

Step 10.2

Multiply $n$ by $n$ .

$20 {cm}^{3} \cdot 20 \cdot 10 \cdot (d^{3} e^{3} ns i a^{4} n^{2} l (t lb l)) \cdot 3.7$

Step 11

Multiply $l$ by $l$ by adding the exponents.

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Step 11.1

Move $l$ .

$20 {cm}^{3} \cdot 20 \cdot 10 \cdot (d^{3} e^{3} ns i a^{4} n^{2} (l \cdot l) (t lb)) \cdot 3.7$

Step 11.2

Multiply $l$ by $l$ .

$20 {cm}^{3} \cdot 20 \cdot 10 \cdot (d^{3} e^{3} ns i a^{4} n^{2} l^{2} (t lb)) \cdot 3.7$

Step 12

Multiply $20$ by $20$ .

$400 {cm}^{3} \cdot 10 \cdot (d^{3} e^{3} ns i a^{4} n^{2} l^{2} (t lb)) \cdot 3.7$

Step 13

Multiply $10$ by $400$ .

$4000 {cm}^{3} \cdot (d^{3} e^{3} ns i a^{4} n^{2} l^{2} (t lb)) \cdot 3.7$

Step 14

Multiply $4000 {cm}^{3} d^{3} e^{3} ns i a^{4} n^{2} l^{2} t lb \cdot 3.7$ .

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Step 14.1

Multiply $3.7$ by $4000$ .

$14800 {cm}^{3} d^{3} e^{3} ns i a^{4} n^{2} l^{2} t lb$

Step 14.2

Multiply $e^{3}$ by $14800$ .

$297265.94646317 {cm}^{3} d^{3} ns i a^{4} n^{2} l^{2} t lb$

Step 15

Reorder factors in $297265.94646317 {cm}^{3} d^{3} ns i a^{4} n^{2} l^{2} t lb$ .

$297265.94646317 d^{3} i a^{4} n^{2} l^{2} t {cm}^{3} ns lb$