# How do you simplify 78^-1?

Jun 10, 2015

${78}^{- 1} = \frac{1}{78}$
Use the negative exponent rule: ${a}^{- n} = \frac{1}{{a}^{n}}$, in which negative exponents in the numerator are moved to the denominator and become positive, and negative exponents in the denominator are moved to the numerator and become positive.
${a}^{- n}$ is understood to be $\frac{{a}^{- n}}{1}$, and ${78}^{- 1}$ is understood to be ${78}^{- 1} / 1$, and $\frac{1}{78}$ is understood to be $\frac{1}{{78}^{1}}$ .