Question

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quotient of powers
score: 1/6 answered: 1/6
question 2
leave answers in positive exponential form.
simplify $\frac{2^{13}}{2^{2}}$

Explanation:

Step1: Apply quotient of powers rule

When dividing exponents with the same base, subtract the denominator exponent from the numerator exponent: $\frac{a^m}{a^n}=a^{m-n}$
$\frac{2^{13}}{2^2}=2^{13-2}$

Step2: Calculate the exponent

Subtract the two values in the exponent.
$2^{13-2}=2^{11}$

Answer:

$2^{11}$