Learn how to multiply two exponents with fraction powers

The video tutorial explains how to use the product property of exponents, which states that when you have two exponents with the same base, you add the powers. The instructor demonstrates this by solving an example where the base is 1/4 and the exponents are 2/5 and 3/5. By adding the exponents, the result is 1/4 raised to the power of 1, simplifying to 1/4.

What is the initial concept introduced when dealing with exponents having the same base and power?

• Multiply the bases

• Subtract the powers

• Use the product property

• Divide the bases

What does the product property of exponents state?

• Divide the powers if the bases are the same

• Multiply the bases and powers

• Add the powers if the bases are the same

• Subtract the powers if the bases are the same

In the example given, what is the base used in the expression?

• 1/5

• 1/2

• 1/4

• 1/3

What is the result of adding the powers 2/5 and 3/5 in the example?

• 4/5

• 6/5

• 1/5

• 5/5

What is the final simplified form of the expression 1/4 to the power of 5/5?

• 1

• 1/4

• 1/2

• 1/3