Question

simplify. rewrite the expression in the form $b^n$. \\(\dfrac{b^{-2}}{b^4} = \square\\)

Explanation:

Step1: Recall exponent rule for division

When dividing exponents with the same base, we subtract the exponents: $\frac{b^m}{b^n}=b^{m - n}$. Here, $m=-2$ and $n = 4$.

Step2: Apply the rule

Substitute $m=-2$ and $n = 4$ into the formula: $b^{-2-4}=b^{-6}$.

Answer:

$b^{-6}$