Pre-Algebra Examples

$44 a^{5} \cdot (36 a^{4})$

Step 1

Rewrite using the commutative property of multiplication.

$44 \cdot 36 a^{5} a^{4}$

Step 2

Multiply $a^{5}$ by $a^{4}$ by adding the exponents.

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Step 2.1

Move $a^{4}$ .

$44 \cdot 36 (a^{4} a^{5})$

Step 2.2

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

$44 \cdot 36 a^{4 + 5}$

Step 2.3

Add $4$ and $5$ .

$44 \cdot 36 a^{9}$

Step 3

Multiply $44$ by $36$ .

$1584 a^{9}$

Step 4

Since there are no common prime factors, the only common factor for $1584 a^{9}$ is $1$ .

$1$