Basic Math Examples

${({(\frac{1}{3})}^{- 1} - {(\frac{1}{4})}^{- 1})}^{- 1}$

Step 1

Simplify each term.

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Step 1.1

Change the sign of the exponent by rewriting the base as its reciprocal.

${(3 - {(\frac{1}{4})}^{- 1})}^{- 1}$

Step 1.2

Change the sign of the exponent by rewriting the base as its reciprocal.

${(3 - 1 \cdot 4)}^{- 1}$

Step 1.3

Multiply $- 1$ by $4$ .

${(3 - 4)}^{- 1}$

Step 2

Subtract $4$ from $3$ .

${(- 1)}^{- 1}$

Step 3

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

$\frac{1}{- 1}$

Step 4

Divide $1$ by $- 1$ .

$- 1$