Understanding Exponents and Roots

The video tutorial explains how to express roots using exponents and introduces the power law, which is essential for simplifying expressions with fractional exponents. It demonstrates the application of these concepts through examples, showing how to simplify complex expressions and solve problems effectively.

How can the square root of 5 be expressed using fractional exponents?

• 5^3

• 5^(1/3)

• 5^(1/2)

• 5^2

What is the fractional exponent form of the cube root of 7?

• 7^(1/3)

• 7^(1/2)

• 7^3

• 7^2

How is the nth root of a number 'a' represented as a fractional exponent?

• a^n

• a^(n^2)

• a^(1/n)

• a^(n/1)

What does the power law state about a number raised to a power and then raised to another power?

• The powers are divided

• The powers are multiplied

• The powers are subtracted

• The powers are added

If you have 5^2 raised to the power of 3, how can it be simplified using the power law?

• 5^9

• 5^5

• 5^8

• 5^6

In the expression 8^(2x3), what is the base?

• 6

• 8

• 3

• 2

How can 8^(2x3) be rewritten using the power law?

• 8^(2+3)

• 8^(2*3)

• 8^(2/3)

• 8^(3/2)

What is the cube root of 64?

• 16

• 8

• 4

• 2

How can the expression 64^(1/3) be simplified?

• 16

• 32

• 8

• 4

What is the result of the square root of 64 raised to the power of 1/3?

• 4

• 8

• 2

• 1