Simplify dgggggggggggg

$d g \cdot g \cdot g \cdot g \cdot g \cdot g \cdot g \cdot g \cdot g \cdot g \cdot g \cdot g$

Step 1

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

Move $g$ .

$d (g \cdot g) g \cdot g \cdot g \cdot g \cdot g \cdot g \cdot g \cdot g \cdot g \cdot g$

Multiply $g$ by $g$ .

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

Step 2

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

Move $g$ .

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

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

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

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

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

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

Add $1$ and $2$ .

$d g^{3} g \cdot g \cdot g \cdot g \cdot g \cdot g \cdot g \cdot g \cdot g$

Step 3

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

Move $g$ .

$d (g \cdot g^{3}) g \cdot g \cdot g \cdot g \cdot g \cdot g \cdot g \cdot g$

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

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

$d (g^{1} g^{3}) g \cdot g \cdot g \cdot g \cdot g \cdot g \cdot g \cdot g$

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

$d g^{1 + 3} g \cdot g \cdot g \cdot g \cdot g \cdot g \cdot g \cdot g$

Add $1$ and $3$ .

$d g^{4} g \cdot g \cdot g \cdot g \cdot g \cdot g \cdot g \cdot g$

Step 4

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

Move $g$ .

$d (g \cdot g^{4}) g \cdot g \cdot g \cdot g \cdot g \cdot g \cdot g$

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

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

$d (g^{1} g^{4}) g \cdot g \cdot g \cdot g \cdot g \cdot g \cdot g$

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

$d g^{1 + 4} g \cdot g \cdot g \cdot g \cdot g \cdot g \cdot g$

Add $1$ and $4$ .

$d g^{5} g \cdot g \cdot g \cdot g \cdot g \cdot g \cdot g$

Step 5

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

Move $g$ .

$d (g \cdot g^{5}) g \cdot g \cdot g \cdot g \cdot g \cdot g$

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

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

$d (g^{1} g^{5}) g \cdot g \cdot g \cdot g \cdot g \cdot g$

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

$d g^{1 + 5} g \cdot g \cdot g \cdot g \cdot g \cdot g$

Add $1$ and $5$ .

$d g^{6} g \cdot g \cdot g \cdot g \cdot g \cdot g$

Step 6

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

Move $g$ .

$d (g \cdot g^{6}) g \cdot g \cdot g \cdot g \cdot g$

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

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

$d (g^{1} g^{6}) g \cdot g \cdot g \cdot g \cdot g$

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

$d g^{1 + 6} g \cdot g \cdot g \cdot g \cdot g$

Add $1$ and $6$ .

$d g^{7} g \cdot g \cdot g \cdot g \cdot g$

Step 7

Multiply $g^{7}$ by $g$ by adding the exponents.

Move $g$ .

$d (g \cdot g^{7}) g \cdot g \cdot g \cdot g$

Multiply $g$ by $g^{7}$ .

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

$d (g^{1} g^{7}) g \cdot g \cdot g \cdot g$

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

$d g^{1 + 7} g \cdot g \cdot g \cdot g$

Add $1$ and $7$ .

$d g^{8} g \cdot g \cdot g \cdot g$

Step 8

Multiply $g^{8}$ by $g$ by adding the exponents.

Move $g$ .

$d (g \cdot g^{8}) g \cdot g \cdot g$

Multiply $g$ by $g^{8}$ .

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

$d (g^{1} g^{8}) g \cdot g \cdot g$

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

$d g^{1 + 8} g \cdot g \cdot g$

Add $1$ and $8$ .

$d g^{9} g \cdot g \cdot g$

Step 9

Multiply $g^{9}$ by $g$ by adding the exponents.

Move $g$ .

$d (g \cdot g^{9}) g \cdot g$

Multiply $g$ by $g^{9}$ .

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

$d (g^{1} g^{9}) g \cdot g$

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

$d g^{1 + 9} g \cdot g$

Add $1$ and $9$ .

$d g^{10} g \cdot g$

Step 10

Multiply $g^{10}$ by $g$ by adding the exponents.

Move $g$ .

$d (g \cdot g^{10}) g$

Multiply $g$ by $g^{10}$ .

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

$d (g^{1} g^{10}) g$

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

$d g^{1 + 10} g$

Add $1$ and $10$ .

$d g^{11} g$

Step 11

Multiply $g^{11}$ by $g$ by adding the exponents.

Move $g$ .

$d (g \cdot g^{11})$

Multiply $g$ by $g^{11}$ .

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

$d (g^{1} g^{11})$

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

$d g^{1 + 11}$

Add $1$ and $11$ .

$d g^{12}$

Simplify dgggggggggggg

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