Understanding Exponents and Powers

The video tutorial explains how to solve a math problem involving exponents. It begins by introducing the problem and possible answers. The instructor then reviews key exponent rules, such as how to handle negative exponents and the multiplication of powers. The solution is demonstrated step-by-step, focusing on simplifying the exponents. The final answer is derived by multiplying the exponents and simplifying the result, leading to the correct answer choice.

What is the value of y if y equals 3 raised to the power of negative 3?

• 9

• 1/27

• 27

• 3

Which of the following is true about negative exponents?

• They result in a larger number.

• They represent a reciprocal.

• They have no effect on the base number.

• They are always positive.

What is the result of multiplying exponents in the expression 8^m * 8^n?

• 8^(m/n)

• 8^(m-n)

• 8^(m+n)

• 8^(m*n)

What is the simplified form of 3 raised to the power of negative 3?

• 1/3

• 1/9

• 1/27

• 1/81

What is the final answer for y raised to the power of y in the given problem?

• 3^9

• 3^(-1/9)

• 3^27

• 3^(-327)