Basic Math Examples

$n^{2} (p^{- 4}) (n^{- 5})$

Step 1

Multiply $n^{2}$ by $n^{- 5}$ by adding the exponents.

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Step 1.1

Move $n^{- 5}$ .

$n^{- 5} n^{2} p^{- 4}$

Step 1.2

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

$n^{- 5 + 2} p^{- 4}$

Step 1.3

Add $- 5$ and $2$ .

$n^{- 3} p^{- 4}$

Step 2

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

$\frac{1}{n^{3}} p^{- 4}$

Step 3

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

$\frac{1}{n^{3}} \cdot \frac{1}{p^{4}}$

Step 4

Combine.

$\frac{1 \cdot 1}{n^{3} p^{4}}$

Step 5

Multiply $1$ by $1$ .

$\frac{1}{n^{3} p^{4}}$