(Q3) Sample #1, Math 141/146 common final, Glendale community college

TL;DR

Learn how to simplify expressions using exponent rules and ensure positive exponents.

Transcript

continue with question number three we're going to simplify this expression and the key is that we have to use all the rule of exponents and we have to make sure that our answer can only have positive exponents so let's begin so first part as you can see we have a to the negative 2 in the parentheses raised to the negative 3 power this is a powerfu... Read More

Key Insights

• ❎ Simplifying expressions with negative exponents requires multiplying or dividing exponents and converting negative exponents to positive ones.
• ✊ The power to the power rule is used when simplifying expressions involving exponents.
• 🍉 Adding exponents is done when multiplying terms with the same base, while subtracting exponents is done when dividing terms with the same base.

Questions & Answers

Q: How do you simplify an expression with a power of a negative exponent?

To simplify an expression with a power of a negative exponent, multiply the exponents together and ensure positive exponents by changing negative exponents to positive exponents using the base.

Q: What do you do when multiplying two terms with the same base?

When multiplying two terms with the same base, you add the exponents together to simplify the expression.

Q: How do you simplify an expression when dividing terms with the same base?

To simplify an expression when dividing terms with the same base, subtract the exponents from each other.

Q: How can you convert a negative exponent to a positive exponent?

Negative exponents can be converted to positive exponents by writing them as 1 over the base raised to the positive exponent. This ensures the answer has only positive exponents.

Summary & Key Takeaways

• To simplify an expression with the power of a negative exponent, multiply the exponents together and ensure positive exponents.

• When multiplying two terms with the same base, add the exponents.

• When dividing terms with the same base, subtract the exponents.

• Negative exponents can be converted to positive exponents by writing them as 1 over the base raised to the positive exponent.