Question

evaluate. write your answer as a whole number or as a simplified fraction. $\frac{2^9}{2^5} = square$

Explanation:

Step1: Apply exponent division rule

When dividing like bases, subtract exponents: $\frac{a^m}{a^n}=a^{m-n}$
$\frac{2^9}{2^5}=2^{9-5}$

Step2: Calculate the exponent

Subtract the exponents:
$2^{9-5}=2^4$

Step3: Compute the power

Calculate the value of $2^4$:
$2^4=2\times2\times2\times2=16$

Answer:

16