Write the Fraction in Simplest Form (4^11)/(4^-8)

$\frac{4^{11}}{4^{- 8}}$

Step 1

Move $4^{- 8}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$4^{11} \cdot 4^{8}$

Step 2

Multiply $4^{11}$ by $4^{8}$ by adding the exponents.

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

$4^{11 + 8}$

Add $11$ and $8$ .

$4^{19}$

Step 3

Raise $4$ to the power of $19$ .

$274877906944$