Write the Fraction in Simplest Form (4^-3a^0)/(b^-7)

$\frac{4^{- 3} a^{0}}{b^{- 7}}$

Step 1

Move $4^{- 3}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{b^{- 7} \cdot 4^{3}}$

Step 2

Move $b^{- 7}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{b^{7}}{4^{3}}$

Step 3

Raise $4$ to the power of $3$ .

$\frac{b^{7}}{64}$