Exponent Rules and Simplification

This video tutorial explains how to simplify expressions using power and product rules with positive exponents. It covers handling exterior exponents, raising variables to powers, and combining like terms by adding exponents. The tutorial provides step-by-step guidance on simplifying expressions with multiplication and exponents, ensuring a clear understanding of the process.

What is the first step in simplifying an expression with an exterior exponent?

• Ignore the exterior exponent.

• Simplify the expression inside the parentheses first.

• Add all exponents inside the parentheses.

• Multiply all terms inside the parentheses.

How do you calculate negative 3 raised to the third power?

• Negative 3

• Positive 27

• Negative 27

• Positive 9

What is the result of multiplying negative numbers in an expression?

• Depends on the number of negative factors

• Always positive

• Always negative

• Zero

When raising a variable to a power, what do you do with the exponents?

• Add them together.

• Multiply them.

• Divide them.

• Subtract them.

What is the result of raising x to the power of 1 to the third power?

• x to the first power

• x to the third power

• x to the second power

• x to the fourth power

How do you simplify y to the third raised to the third power?

• y to the sixth power

• y to the ninth power

• y to the twelfth power

• y to the third power

How do you handle an expression with both interior and exterior exponents?

• Ignore the exponents.

• Subtract the exponents.

• Multiply the exponents.

• Add the exponents.

What is the result of raising z to the power of 1 to the third power?

• z to the fourth power

• z to the third power

• z to the first power

• z to the second power

What is the result of multiplying a negative 1 and a negative 27?

• Positive 27

• Negative 27

• Positive 1

• Negative 1

How do you combine x to the third and x to the third?

• x to the twelfth

• x to the ninth

• x to the sixth

• x to the third