Basic Math Examples

${(- 0.3)}^{- 1} + {(- 0.2)}^{- 3}$

Step 1

Simplify each term.

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Step 1.1

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

$\frac{1}{- 0.3} + {(- 0.2)}^{- 3}$

Step 1.2

Divide $1$ by $- 0.3$ .

$- 3.\overline{3} + {(- 0.2)}^{- 3}$

Step 1.3

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

$- 3.\overline{3} + \frac{1}{{(- 0.2)}^{3}}$

Step 1.4

Raise $- 0.2$ to the power of $3$ .

$- 3.\overline{3} + \frac{1}{- 0.008}$

Step 1.5

Divide $1$ by $- 0.008$ .

$- 3.\overline{3} - 125$

Step 2

Subtract $125$ from $- 3.\overline{3}$ .

$- 128.\overline{3}$