Learning how to simplify an exponent raised to a rational power

The video tutorial explains how to simplify expressions involving exponents. It begins by introducing the concept of cubed numbers, using 125 as an example, and rewriting it as 5^3. The instructor then applies the rules of exponents, emphasizing that when an exponent is raised to another power, the powers are multiplied. The tutorial further explains how to multiply a whole number by a fraction, resulting in a simplified expression of 5 to the first power, which equals 5. The session concludes with a simplified answer and an invitation for questions.

What is the cubed number that can be rewritten as 5^3?

• 120

• 125

• 150

• 100

According to the rules of exponents, what should you do when an exponent is raised to another power?

• Multiply the powers

• Subtract the powers

• Divide the powers

• Add the powers

When multiplying a whole number by a fraction, what is the correct method?

• Multiply the number by the denominator and the numerator by itself

• Add the numerator and denominator

• Multiply the number by the numerator and the denominator by itself

• Multiply the number by the numerator and the denominator by the denominator

What is the simplified result of 5^(3/3)?

• 5^3

• 5^0

• 5^2

• 5^1

What is the final simplified answer when 5^(3/3) is calculated?

• 3

• 1

• 5

• 15