Divide the coefficients, and divide the variables. Using the law of exponents, you divide the variables by subtracting the powers. Subtracting the powers leads to negative exponents, so you can write it as a fraction so that you have positive exponents.

How do you simplify exponents with different bases?

Multiplying exponents with different bases

First, multiply the bases together. Then, add the exponent. Instead of adding the two exponents together, keep it the same. This is because of the fourth exponent rule: distribute power to each base when raising several variables by a power.

What to do with exponents when dividing?

To divide exponents (or powers) with the same base, subtract the exponents. Division is the opposite of multiplication, so it makes sense that because you add exponents when multiplying numbers with the same base, you subtract the exponents when dividing numbers with the same base.

What are the five rules of exponents?

Make sure you go over each exponent rule thoroughly in class, as each one plays an important role in solving exponent based equations.
Product of powers rule. Quotient of powers rule. Power of a power rule. Power of a product rule. Power of a quotient rule. Zero power rule. Negative exponent rule.

When powers are same bases are different?

When the square root bases are different and the powers are the same, the bases are multiplied first. When the square root bases and the powers are different, the exponents are evaluated separately and then multiplied. Example: Consider the product of (√5)3 and (√7)4.

What are the five common bases for dividing work?

Here are six common bases for departmentation:
Knowledge and Skill. People are grouped by what they know. Work Process. Workers are grouped based on the process or activity used by the worker. Business Function. Time. Output. Client. Place.