Question

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quotient of powers
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question 1
leave answers in positive exponential form.
simplify $\frac{2^{13}}{2^{2}}$

Explanation:

Step1: Apply quotient of powers rule

For same base $a$, $\frac{a^m}{a^n}=a^{m-n}$. Here $a=2$, $m=13$, $n=2$.
$\frac{2^{13}}{2^{2}}=2^{13-2}$

Step2: Subtract exponents

Calculate the exponent value.
$2^{13-2}=2^{11}$

Answer:

$2^{11}$