Write the Fraction in Simplest Form (8^-8)(8^3)

$(8^{- 8}) (8^{3})$

Step 1

Multiply $8^{- 8}$ by $8^{3}$ by adding the exponents.

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

$8^{- 8 + 3}$

Add $- 8$ and $3$ .

$8^{- 5}$

Step 2

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

$\frac{1}{8^{5}}$

Step 3

Raise $8$ to the power of $5$ .

$\frac{1}{32768}$