Basic Math Examples

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

Step 1

Multiply the exponents in ${(p^{2})}^{- 5}$ .

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Step 1.1

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$p^{2 \cdot - 5} p^{5}$

Step 1.2

Multiply $2$ by $- 5$ .

$p^{- 10} p^{5}$

Step 2

Multiply $p^{- 10}$ by $p^{5}$ by adding the exponents.

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Step 2.1

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

$p^{- 10 + 5}$

Step 2.2

Add $- 10$ and $5$ .

$p^{- 5}$

Step 3

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

$\frac{1}{p^{5}}$