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Simplify (2p^6)(4p^9)

$(2 p^{6}) (4 p^{9})$

Step 1

Rewrite using the commutative property of multiplication.

$2 \cdot 4 p^{6} p^{9}$

Step 2

Multiply

$p^{6}$ by

$p^{9}$ by adding the exponents.

Move

$p^{9}$ .

$2 \cdot 4 (p^{9} p^{6})$

Use the power rule

$a^{m} a^{n} = a^{m + n}$ to combine exponents.

$2 \cdot 4 p^{9 + 6}$

Add

$9$ and

$6$ .

$2 \cdot 4 p^{15}$

$2 \cdot 4 p^{15}$

Step 3

Multiply

$2$ by

$4$ .

$8 p^{15}$

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