Multiplying Exponents and Bases

In this video, Mr. J explains how to multiply exponents when the exponents are the same but the bases differ. The process involves multiplying the bases and keeping the exponent unchanged. Two examples are provided: one with six cubed times two cubed, resulting in twelve cubed, and another with five to the power of five times four to the power of five, resulting in twenty to the power of five. The video concludes with a summary of the method.

What is the first step when multiplying exponents with the same exponent but different bases?

• Add the exponents

• Multiply the exponents

• Multiply the bases

• Divide the bases

In the expression x^a * y^a, what remains unchanged?

• The bases

• The coefficients

• The variables

• The exponent

What is the result of 6^3 * 2^3?

• 18^3

• 12^3

• 8^3

• 24^3

What is 12 cubed?

• 1,728

• 1,512

• 1,344

• 1,216

In the expression 5^5 * 4^5, what is the new base after applying the rule?

• 9

• 25

• 45

• 20

What is 20 to the power of 5?

• 3,200,000

• 2,400,000

• 1,600,000

• 800,000

What is the key takeaway when multiplying exponents with the same exponent but different bases?

• Multiply the bases and add the exponents

• Add the bases and exponents

• Multiply the bases and keep the exponent

• Divide the bases and keep the exponent

What should you do if the bases are different but the exponents are the same?

• Add the bases

• Multiply the bases

• Subtract the bases

• Divide the bases

What is the final result of 5^5 * 4^5?

• 3,200,000

• 2,000,000

• 4,000,000

• 5,200,000