Pre-Algebra Examples

$10 x y^{3} \cdot (8 x^{5} y^{3})$

Step 1

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

Tap for more steps...

Step 1.1

Move $x^{5}$ .

$10 (x^{5} x) y^{3} \cdot (8 y^{3})$

Step 1.2

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

Tap for more steps...

Step 1.2.1

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

$10 (x^{5} x^{1}) y^{3} \cdot (8 y^{3})$

Step 1.2.2

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

$10 x^{5 + 1} y^{3} \cdot (8 y^{3})$

Step 1.3

Add $5$ and $1$ .

$10 x^{6} y^{3} \cdot (8 y^{3})$

Step 2

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

Tap for more steps...

Step 2.1

Move $y^{3}$ .

$10 x^{6} (y^{3} y^{3}) \cdot 8$

Step 2.2

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

$10 x^{6} y^{3 + 3} \cdot 8$

Step 2.3

Add $3$ and $3$ .

$10 x^{6} y^{6} \cdot 8$

Step 3

Multiply $8$ by $10$ .

$80 x^{6} y^{6}$