Simplify 4x5x^32x^5

$4 x \cdot 5 x^{3} \cdot 2 x^{5}$

Step 1

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

Move $x^{3}$ .

$4 (x^{3} x) \cdot 5 \cdot (2 x^{5})$

Multiply $x^{3}$ by $x$ .

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

$4 (x^{3} x^{1}) \cdot 5 \cdot (2 x^{5})$

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

$4 x^{3 + 1} \cdot 5 \cdot (2 x^{5})$

Add $3$ and $1$ .

$4 x^{4} \cdot 5 \cdot (2 x^{5})$

Step 2

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

Move $x^{5}$ .

$4 (x^{5} x^{4}) \cdot 5 \cdot 2$

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

$4 x^{5 + 4} \cdot 5 \cdot 2$

Add $5$ and $4$ .

$4 x^{9} \cdot 5 \cdot 2$

Step 3

Multiply $5$ by $4$ .

$20 x^{9} \cdot 2$

Step 4

Multiply $2$ by $20$ .

$40 x^{9}$

Simplify 4x*5x^3*2x^5