Exponent Rules and Simplification

The video tutorial guides viewers through simplifying an expression with exponents. It begins with an introduction to the problem and encourages viewers to attempt solving it independently. The tutorial then demonstrates the application of order of operations and exponent properties to simplify the expression. It covers exponent rules, combining like terms, and concludes with the final simplified expression.

What is the first step suggested to simplify the expression with exponents?

• Multiply the terms directly

• Apply the exponent to each term

• Divide the expression by 2

• Add all the exponents together

Which property of exponents is used to simplify (a * b)^n?

• a^n * b^n

• a^n + b^n

• a^(n/b)

• a^(n*b)

What is the result of 81 raised to the 1/2 power?

• 11

• 10

• 9

• 8

How do you simplify a^2 raised to the 1/2 power?

• a^3

• a^4

• a^1

• a^2

What is the simplified form of B^8 raised to the 1/2 power?

• B^4

• B^3

• B^2

• B^5

What is the result of multiplying the coefficients 4 and 9?

• 32

• 38

• 34

• 36

How do you combine a^3 and a in terms of exponents?

• a^5

• a^4

• a^3

• a^2

What is the final exponent of B after combining B and B^4?

• B^6

• B^3

• B^4

• B^5

What is the final simplified form of the expression in terms of a and b?

• 36 * a^4 * b^5

• 36 * a^3 * b^4

• 36 * a^5 * b^4

• 36 * a^4 * b^6

What is the final coefficient in the simplified expression?

• 32

• 34

• 36

• 38