Question

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

Explanation:

Step1: Apply exponent division rule

When dividing exponents with the same base, subtract the denominator exponent from the numerator exponent: $\frac{z^a}{z^b}=z^{a-b}$

Step2: Substitute the given exponents

Substitute $a=7$ and $b=-14$ into the rule:
$z^{7-(-14)}$

Step3: Simplify the exponent

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

Answer:

$z^{21}$