Basic Math Examples

$p^{2} \cdot p^{4} + 3 p \cdot p^{5}$

Step 1

Simplify each term.

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Step 1.1

Multiply $p^{2}$ by $p^{4}$ by adding the exponents.

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Step 1.1.1

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

$p^{2 + 4} + 3 p \cdot p^{5}$

Step 1.1.2

Add $2$ and $4$ .

$p^{6} + 3 p \cdot p^{5}$

Step 1.2

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

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Step 1.2.1

Move $p^{5}$ .

$p^{6} + 3 (p^{5} p)$

Step 1.2.2

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

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Step 1.2.2.1

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

$p^{6} + 3 (p^{5} p^{1})$

Step 1.2.2.2

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

$p^{6} + 3 p^{5 + 1}$

Step 1.2.3

Add $5$ and $1$ .

$p^{6} + 3 p^{6}$

Step 2

Add $p^{6}$ and $3 p^{6}$ .

$4 p^{6}$