Question

simplify. rewrite the expression in the form $z^n$. $\dfrac{z^7}{z^{-14}} = $

Explanation:

Step1: Apply exponent division rule

When dividing like bases, subtract exponents: $\frac{z^a}{z^b}=z^{a-b}$
$\frac{z^7}{z^{-14}} = z^{7 - (-14)}$

Step2: Simplify the exponent

Calculate the value of the exponent:
$z^{7 + 14} = z^{21}$

Answer:

$z^{21}$