Adding and Subtracting Bases with Exponents Explained

This video tutorial covers the basics of adding and subtracting exponents. It explains the importance of having the same base and exponent when performing these operations. The tutorial provides examples and practice problems to illustrate the concepts, emphasizing that only coefficients are combined while bases and exponents remain unchanged.

What must be identical for adding or subtracting terms with exponents?

• Only the exponents

• Only the bases

• The coefficients

• Both the bases and the exponents

What does 4 to the 3rd power represent?

• 4 * 4 * 4

• 4 * 4

• 4 + 4 + 4

• 12

Why can't x squared plus y squared be combined?

• Because one is addition and the other is subtraction

• Because the coefficients are different

• Because the bases are different

• Because the exponents are different

What is the term for the number in front of a variable?

• Base

• Coefficient

• Variable

• Exponent

Can you combine terms with different exponents?

• Yes, always

• Only if the coefficients are the same

• No, never

• Only if the bases are the same

What is the result of adding 2x squared and 3x squared?

• 5x squared

• x to the fifth

• 6x squared

• 5x to the fourth

What is the correct way to simplify 5x squared minus 3x squared?

• 2

• 2x

• 8x squared

• 2x squared

What happens to the exponents when adding or subtracting terms with the same base and exponent?

• They remain unchanged

• They are added

• They are multiplied

• They are subtracted

Can 4x to the 4th and 7x to the 4th be combined?

• No, because they represent different values

• Yes, but only the exponents are added

• No, because the coefficients are different

• Yes, because the bases and exponents match

What is the outcome of combining 10x squared and 3x to the third?

• 13x to the fifth

• 10x to the sixth

• 13x squared

• Cannot be combined