Chemistry Examples

$h (h g) g \cdot g \cdot g \cdot g \cdot g \cdot g$

Step 1

Multiply $h$ by $h$ by adding the exponents.

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Step 1.1

Move $h$ .

$h \cdot h g \cdot g \cdot g \cdot g \cdot g \cdot g \cdot g$

Step 1.2

Multiply $h$ by $h$ .

$h^{2} g \cdot g \cdot g \cdot g \cdot g \cdot g \cdot g$

Step 2

Multiply $g$ by $g$ by adding the exponents.

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Step 2.1

Move $g$ .

$h^{2} (g \cdot g) g \cdot g \cdot g \cdot g \cdot g$

Step 2.2

Multiply $g$ by $g$ .

$h^{2} g^{2} g \cdot g \cdot g \cdot g \cdot g$

Step 3

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

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Step 3.1

Move $g$ .

$h^{2} (g \cdot g^{2}) g \cdot g \cdot g \cdot g$

Step 3.2

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

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Step 3.2.1

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

$h^{2} (g^{1} g^{2}) g \cdot g \cdot g \cdot g$

Step 3.2.2

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

$h^{2} g^{1 + 2} g \cdot g \cdot g \cdot g$

Step 3.3

Add $1$ and $2$ .

$h^{2} g^{3} g \cdot g \cdot g \cdot g$

Step 4

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

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Step 4.1

Move $g$ .

$h^{2} (g \cdot g^{3}) g \cdot g \cdot g$

Step 4.2

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

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Step 4.2.1

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

$h^{2} (g^{1} g^{3}) g \cdot g \cdot g$

Step 4.2.2

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

$h^{2} g^{1 + 3} g \cdot g \cdot g$

Step 4.3

Add $1$ and $3$ .

$h^{2} g^{4} g \cdot g \cdot g$

Step 5

Multiply $g^{4}$ by $g$ by adding the exponents.

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Step 5.1

Move $g$ .

$h^{2} (g \cdot g^{4}) g \cdot g$

Step 5.2

Multiply $g$ by $g^{4}$ .

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Step 5.2.1

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

$h^{2} (g^{1} g^{4}) g \cdot g$

Step 5.2.2

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

$h^{2} g^{1 + 4} g \cdot g$

Step 5.3

Add $1$ and $4$ .

$h^{2} g^{5} g \cdot g$

Step 6

Multiply $g^{5}$ by $g$ by adding the exponents.

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Step 6.1

Move $g$ .

$h^{2} (g \cdot g^{5}) g$

Step 6.2

Multiply $g$ by $g^{5}$ .

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Step 6.2.1

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

$h^{2} (g^{1} g^{5}) g$

Step 6.2.2

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

$h^{2} g^{1 + 5} g$

Step 6.3

Add $1$ and $5$ .

$h^{2} g^{6} g$

Step 7

Multiply $g^{6}$ by $g$ by adding the exponents.

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Step 7.1

Move $g$ .

$h^{2} (g \cdot g^{6})$

Step 7.2

Multiply $g$ by $g^{6}$ .

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Step 7.2.1

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

$h^{2} (g^{1} g^{6})$

Step 7.2.2

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

$h^{2} g^{1 + 6}$

Step 7.3

Add $1$ and $6$ .

$h^{2} g^{7}$