Please show step-by-step how I am supposed to solve these types of problems.

1. 4ab^0

2. 5x^-4

3. (3x^-2)/y

zero exponent is always 1: 5^0 = 1

negative exponents switch between top and bottom.
x^-4 = 1/x^4
1/x^-4 = x^4

4ab^0 = 4a(1) = 4a

5x^-4 = 5/x^4

3x^-2 / y = 3/(x^2 y)

Certainly! Let's go through each problem step-by-step:

1. 4ab^0:
Step 1: Recall that any number raised to the power of 0 is equal to 1. Therefore, b^0 = 1.
Step 2: Simplify the expression by replacing b^0 with 1. The expression becomes 4a(1).
Step 3: Multiply 4a by 1. The final answer is 4a.

2. 5x^-4:
Step 1: Remember that when a negative exponent is attached to a base, we can rewrite it as the reciprocal of the base raised to the positive exponent. So, x^-4 becomes 1/x^4.
Step 2: Substitute x^-4 with 1/x^4 in the expression. The expression becomes 5(1/x^4).
Step 3: Simplify the expression by multiplying the constant 5 by the fraction 1/x^4. The final answer is 5/x^4.

3. (3x^-2)/y:
Step 1: Similar to the second problem, rewrite x^-2 as 1/x^2.
Step 2: Substitute x^-2 with 1/x^2 in the expression. The expression becomes (3(1/x^2))/y.
Step 3: Simplify the expression by multiplying the constant 3 by the fraction 1/x^2, and then dividing it by y. The final answer is (3/y) * (1/x^2), which can also be written as 3/(yx^2).

By following these steps, you should be able to simplify expressions involving variables and exponents.