Algebra Examples

$(1.3 a^{6} b^{11} c^{5}) (0.5 a^{2} b c^{3})$

Step 1

Multiply $a^{6}$ by $a^{2}$ by adding the exponents.

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Step 1.1

Move $a^{2}$ .

$1.3 (a^{2} a^{6}) b^{11} c^{5} (0.5 b c^{3})$

Step 1.2

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

$1.3 a^{2 + 6} b^{11} c^{5} (0.5 b c^{3})$

Step 1.3

Add $2$ and $6$ .

$1.3 a^{8} b^{11} c^{5} (0.5 b c^{3})$

Step 2

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

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Step 2.1

Move $b$ .

$1.3 a^{8} (b \cdot b^{11}) c^{5} (0.5 c^{3})$

Step 2.2

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

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Step 2.2.1

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

$1.3 a^{8} (b^{1} b^{11}) c^{5} (0.5 c^{3})$

Step 2.2.2

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

$1.3 a^{8} b^{1 + 11} c^{5} (0.5 c^{3})$

Step 2.3

Add $1$ and $11$ .

$1.3 a^{8} b^{12} c^{5} (0.5 c^{3})$

Step 3

Multiply $c^{5}$ by $c^{3}$ by adding the exponents.

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Step 3.1

Move $c^{3}$ .

$1.3 a^{8} b^{12} (c^{3} c^{5}) \cdot 0.5$

Step 3.2

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

$1.3 a^{8} b^{12} c^{3 + 5} \cdot 0.5$

Step 3.3

Add $3$ and $5$ .

$1.3 a^{8} b^{12} c^{8} \cdot 0.5$

Step 4

Multiply $0.5$ by $1.3$ .

$0.65 a^{8} b^{12} c^{8}$