Simplify 8^-78^710^4*10^-4

$8^{- 7} \cdot 8^{7} \cdot 10^{4} \cdot 10^{- 4}$

Multiply $8^{- 7}$ by $8^{7}$ by adding the exponents.

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

$8^{- 7 + 7} \cdot 10^{4} \cdot 10^{- 4}$

Add $- 7$ and $7$ .

$8^{0} \cdot 10^{4} \cdot 10^{- 4}$

Simplify $8^{0} \cdot 10^{4} \cdot 10^{- 4}$ .

$10^{4} \cdot 10^{- 4}$

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

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

$10^{4 - 4}$

Subtract $4$ from $4$ .

$10^{0}$

Simplify $10^{0}$ .

$1$

Simplify 8^-7*8^7*10^4*10^-4