Exponents and Simplifying Expressions

The video tutorial explains how to simplify expressions involving fractions raised to powers. It covers exponent rules, demonstrating how to apply them to both the numerator and denominator. The tutorial includes examples of squaring and cubing fractions, showing step-by-step simplification processes. Key concepts such as multiplying exponents and evaluating powers are highlighted to aid understanding.

What is the result of raising a fraction a/b to the power of n?

• a^n / b^n

• a^n * b^n

• a^n / b

• a / b^n

How do you simplify (5/p)^4?

• 5^4 / p^4

• 5^4 * p^4

• 5^4 / p

• 5 / p^4

What is 5 raised to the power of 4?

• 125

• 25

• 625

• 1024

How do you simplify (2x/3)^2?

• 2x / 3

• 4x^2 / 9

• 2x^2 / 9

• 4x / 9

What is the result of squaring 2x?

• 2x

• 4x

• 2x^2

• 4x^2

What is the result of squaring 3?

• 9

• 3

• 6

• 12

How do you simplify (2mn^3/3r^2)^3?

• 8m^3n^9 / 9r^6

• 8m^3n^3 / 27r^6

• 8m^3n^9 / 27r^6

• 8m^3n^9 / 27r^3

What is 2 raised to the power of 3?

• 8

• 12

• 6

• 4

What is 3 raised to the power of 3?

• 27

• 9

• 12

• 18

What is the result of raising n^3 to the power of 3?

• n^12

• n^6

• n^9

• n^3