Simplify 4x^0*2x

$4 x^{0} \cdot 2 x$

Step 1

Rewrite using the commutative property of multiplication.

$4 \cdot 2 x^{0} x$

Step 2

Multiply $x^{0}$ by $x$ by adding the exponents.

Move $x$ .

$4 \cdot 2 (x \cdot x^{0})$

Multiply $x$ by $x^{0}$ .

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

$4 \cdot 2 (x^{1} x^{0})$

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

$4 \cdot 2 x^{1 + 0}$

Add $1$ and $0$ .

$4 \cdot 2 x^{1}$

Step 3

Simplify $4 \cdot 2 x^{1}$ .

$4 \cdot 2 x$

Step 4

Multiply $4$ by $2$ .

$8 x$