Pre-Algebra Examples

$(7 a^{2} b^{5}) (3 a^{3} b^{4})$

Step 1

Multiply $a^{2}$ by $a^{3}$ by adding the exponents.

Tap for more steps...

Step 1.1

Move $a^{3}$ .

$7 (a^{3} a^{2}) b^{5} (3 b^{4})$

Step 1.2

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

$7 a^{3 + 2} b^{5} (3 b^{4})$

Step 1.3

Add $3$ and $2$ .

$7 a^{5} b^{5} (3 b^{4})$

Step 2

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

Tap for more steps...

Step 2.1

Move $b^{4}$ .

$7 a^{5} (b^{4} b^{5}) \cdot 3$

Step 2.2

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

$7 a^{5} b^{4 + 5} \cdot 3$

Step 2.3

Add $4$ and $5$ .

$7 a^{5} b^{9} \cdot 3$

Step 3

Multiply $3$ by $7$ .

$21 a^{5} b^{9}$