Basic Math Examples

$2 p^{0} \cdot p^{- 3} \cdot (2 p^{2})$

Step 1

Multiply $p^{0}$ by $p^{- 3}$ by adding the exponents.

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Step 1.1

Move $p^{- 3}$ .

$2 (p^{- 3} p^{0}) \cdot (2 p^{2})$

Step 1.2

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

$2 p^{- 3 + 0} \cdot (2 p^{2})$

Step 1.3

Add $- 3$ and $0$ .

$2 p^{- 3} \cdot (2 p^{2})$

Step 2

Rewrite using the commutative property of multiplication.

$2 \cdot 2 p^{- 3} p^{2}$

Step 3

Multiply $p^{- 3}$ by $p^{2}$ by adding the exponents.

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Step 3.1

Move $p^{2}$ .

$2 \cdot 2 (p^{2} p^{- 3})$

Step 3.2

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

$2 \cdot 2 p^{2 - 3}$

Step 3.3

Subtract $3$ from $2$ .

$2 \cdot 2 p^{- 1}$

Step 4

Multiply $2$ by $2$ .

$4 p^{- 1}$

Step 5

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$4 \frac{1}{p}$

Step 6

Combine $4$ and $\frac{1}{p}$ .

$\frac{4}{p}$