Write the Fraction in Simplest Form (5^-6)/(5^3)

$\frac{5^{- 6}}{5^{3}}$

Step 1

Move $5^{- 6}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{5^{3} \cdot 5^{6}}$

Step 2

Multiply $5^{3}$ by $5^{6}$ by adding the exponents.

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

$\frac{1}{5^{3 + 6}}$

Add $3$ and $6$ .

$\frac{1}{5^{9}}$

Step 3

Raise $5$ to the power of $9$ .

$\frac{1}{1953125}$