Exponent Rules and Simplification

The video tutorial explains how to simplify expressions with rational exponents. It covers the power to a power rule, applying exponents to each term, handling negative exponents, and adding exponents with the same base. The tutorial emphasizes understanding the properties of exponents and applying them to fractions, ensuring clarity in operations involving roots and negative exponents.

What is the result of raising n to the 4th power to the 3/2 power?

• n to the 12th power

• n to the 6th power

• n to the 8th power

• n to the 2nd power

When simplifying 27 to the 5/3 power, what is the first step?

• Raise 27 to the 5th power

• Find the 3rd root of 27

• Multiply 27 by 5

• Divide 27 by 3

What is the simplified form of 3 to the 5th power?

• 81

• 125

• 243

• 27

How do you handle a negative exponent in an expression?

• Add it to the base

• Subtract it from the base

• Flip it to the denominator

• Ignore it

What is the result of simplifying P to the negative 3rd power?

• P to the 3rd power

• 1 over P to the 3rd power

• P to the negative 6th power

• P to the 6th power

When combining B to the 1/2 power and B to the 4/3 power, what is the first step?

• Divide the exponents

• Subtract the exponents

• Add the exponents

• Multiply the exponents

What is the common denominator when adding 1/2 and 4/3?

• 3

• 6

• 12

• 9

What is the simplified form of 3 times B to the 11/6 power?

• 3B to the 1/6

• 3B to the 11/6

• 3B to the 2/3

• 3B to the 5/3

What should you do if you have a power to a power?

• Subtract the exponents

• Add the exponents

• Divide the exponents

• Multiply the exponents

What operation is used when dividing expressions with the same base?

• Divide the exponents

• Add the exponents

• Multiply the exponents

• Subtract the exponents