Question

Evaluate 5power0+5power-1+5power-2

Answer 1

Identities used:

${a}^{0} = 1 \\ {a}^{ - m} = \frac{1}{a}$

Answer:

31/25.

Step-by-step explanation:

${5}^{0} + {5}^{ - 1} + {5}^{ - 2} \\ \\ = 1 + \frac{1}{5} + \frac{1}{ {5}^{2} } \\ \\ = 1 + \frac{1}{5} + \frac{1}{25} \\ \\ = \frac{25 + 5 + 1}{25} \\ \\ \bf = \frac{31}{25}$