Simplify (4x^14)(8x^11)

$(4 x^{14}) (8 x^{11})$

Step 1

Rewrite using the commutative property of multiplication.

$4 \cdot 8 x^{14} x^{11}$

Step 2

Multiply $x^{14}$ by $x^{11}$ by adding the exponents.

Move $x^{11}$ .

$4 \cdot 8 (x^{11} x^{14})$

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

$4 \cdot 8 x^{11 + 14}$

Add $11$ and $14$ .

$4 \cdot 8 x^{25}$

Step 3

Multiply $4$ by $8$ .

$32 x^{25}$