Resolver (1/100)^-2+(1/100)^0+(1/100)^-1

$$( \frac { 1 } { 100 } ) ^ { - 2 } + ( \frac { 1 } { 100 } ) ^ { 0 } + ( \frac { 1 } { 100 } ) ^ { - 1 }$$

Calcular

$$10101$$

Pasos da solución

Calcula \frac{1}{100} á potencia de -2 e obtén 10000.

$$10000+\left(\frac{1}{100}\right)^{0}+\left(\frac{1}{100}\right)^{-1}$$

Calcula \frac{1}{100} á potencia de 0 e obtén 1.

$$10000+1+\left(\frac{1}{100}\right)^{-1}$$

Suma 10000 e 1 para obter 10001.

$$10001+\left(\frac{1}{100}\right)^{-1}$$

Calcula \frac{1}{100} á potencia de -1 e obtén 100.

$$10001+100$$

Suma 10001 e 100 para obter 10101.

$$10101$$

Factorizar

$$3\times 7\times 13\times 37$$