Simplify 6^0+(5^-3*5^3)

$6^{0} + (5^{- 3} \cdot 5^{3})$

Remove parentheses.

$6^{0} + 5^{- 3} \cdot 5^{3}$

Simplify each term.

Anything raised to $0$ is $1$ .

$1 + 5^{- 3} \cdot 5^{3}$

Multiply $5^{- 3}$ by $5^{3}$ by adding the exponents.

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$1 + 5^{- 3 + 3}$

Add $- 3$ and $3$ .

$1 + 5^{0}$

Simplify $5^{0}$ .

$1 + 1$

Add $1$ and $1$ .

$2$