Basic Math Examples

$a^{4} b^{9} \cdot (a b^{5})$

Step 1

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

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Step 1.1

Move $a$ .

$a \cdot a^{4} b^{9} \cdot b^{5}$

Step 1.2

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

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Step 1.2.1

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

$a^{1} a^{4} b^{9} \cdot b^{5}$

Step 1.2.2

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

$a^{1 + 4} b^{9} \cdot b^{5}$

Step 1.3

Add $1$ and $4$ .

$a^{5} b^{9} \cdot b^{5}$

Step 2

Multiply $b^{9}$ by $b^{5}$ by adding the exponents.

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Step 2.1

Move $b^{5}$ .

$a^{5} (b^{5} b^{9})$

Step 2.2

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

$a^{5} b^{5 + 9}$

Step 2.3

Add $5$ and $9$ .

$a^{5} b^{14}$