Evaluate 10^-1+5^0

$10^{- 1} + 5^{0}$

Simplify each term.

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

$\frac{1}{10} + 5^{0}$

Anything raised to $0$ is $1$ .

$\frac{1}{10} + 1$

Simplify the expression.

Write $1$ as a fraction with a common denominator.

$\frac{1}{10} + \frac{10}{10}$

Combine the numerators over the common denominator.

$\frac{1 + 10}{10}$

Add $1$ and $10$ .

$\frac{11}{10}$

The result can be shown in multiple forms.

Exact Form:

$\frac{11}{10}$

Decimal Form:

$1.1$

Mixed Number Form:

$1 \frac{1}{10}$