Simplify (4^5)÷(4^-9)

$4^{5} \div 4^{- 9}$

Rewrite the division as a fraction.

$\frac{4^{5}}{4^{- 9}}$

Move $4^{- 9}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$4^{5} \cdot 4^{9}$

Multiply $4^{5}$ by $4^{9}$ by adding the exponents.

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

$4^{5 + 9}$

Add $5$ and $9$ .

$4^{14}$

Raise $4$ to the power of $14$ .

$268435456$