Understanding Exponents and Roots

The video tutorial explains how to solve a mathematical problem involving the sixth root of g to the power of five, equating it to g to the power of d. The instructor guides through converting the root into an exponent, simplifying the expression, and solving for d. The key steps include understanding the properties of exponents and roots, converting the root to a fractional exponent, and equating the exponents to find the value of d, which is five-sixths.

What is the initial problem presented in the video?

• Finding the value of the fifth power

• Finding the value of g

• Finding the value of d

• Finding the value of the sixth root

Why can't the classic method be used to solve for d?

• Because the problem involves a root

• Because the problem involves a different base

• Because the problem involves a different variable

• Because the problem involves a fraction

What is the first step to solve the problem?

• Isolate the variable d

• Rewrite the sixth root as an exponent

• Multiply the exponents

• Simplify the fractions

How is the sixth root of g to the power of five written as an exponent?

• g to the power of 6/5

• g to the power of 1/5

• g to the power of 5

• g to the power of 5/6

What property is used to multiply the exponents?

• Addition of exponents

• Subtraction of exponents

• Multiplication of exponents

• Division of exponents

How do you convert the number 5 into a fraction?

• Put a zero underneath

• Put a one underneath

• Put a five underneath

• Put a six underneath

What is the result of multiplying 1/6 by 5?

• 1/5

• 5/1

• 5/6

• 6/5

What is the simplified form of g to the power of 5/6 equal to?

• g to the power of d

• g to the power of 5

• g to the power of 6/5

• g to the power of 1/5

What is the final value of d?

• 6/5

• 1/5

• 5/6

• 5

What is the main goal of the video tutorial?

• To find the value of the fifth power

• To find the value of d

• To find the value of g

• To find the value of the sixth root