Simplify ((10^4)/(10^-5))^0

${(\frac{10^{4}}{10^{- 5}})}^{0}$

Move $10^{- 5}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

${(10^{4} \cdot 10^{5})}^{0}$

Multiply $10^{4}$ by $10^{5}$ by adding the exponents.

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

${(10^{4 + 5})}^{0}$

Add $4$ and $5$ .

${(10^{9})}^{0}$

Multiply the exponents in ${(10^{9})}^{0}$ .

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$10^{9 \cdot 0}$

Multiply $9$ by $0$ .

$10^{0}$

Anything raised to $0$ is $1$ .

$1$