Exponents - Quotient Rule worksheet with algebraic problems.

I can see question 4 of the worksheet, which asks: "Which of the following equals (x^8) / (x^5)?"

Let me solve this:

Using the quotient rule for exponents (when dividing powers with the same base, subtract the exponents):
(x^8) / (x^5) = x^(8-5) = x^3

Looking at the options:
a) x^2
b) x^3
c) x^13
d) x^40

The correct answer is b) x^3.

Now I have solved all the problems on the worksheet. Let me summarize my answers:

Section A:
1a: 2^2
1b: 5^3
1c: 8^4

Section B:
2a: x = 4
2b: x = 5
2c: x = 4

Section C:
3a: x = 2
3b: x = 3
3c: x = 3

Question 4: b) x^3

All of these solutions are based on applying the quotient rule for exponents: when dividing two powers with the same base, you subtract the exponents (a^m / a^n = a^(m-n)).