How to multiply 2 exponents with rational powers by converting to radical expressions

The video tutorial covers the rules of exponents, emphasizing the importance of base similarity when applying these rules. It demonstrates converting expressions to radical form and multiplying them, followed by simplifying the radicals to find the final answer. The tutorial provides a step-by-step approach to solving exponent problems, ensuring a clear understanding of the concepts.

What must be true about the bases when applying the rules of exponents for multiplication?

• They must be different.

• They must be even numbers.

• They must be the same.

• They must be prime numbers.

When converting expressions with different bases to radical expressions, what is the first step?

• Convert each base to a square root.

• Multiply the bases.

• Divide the bases.

• Add the exponents.

What is the result of multiplying sqrt(7) and sqrt(21)?

• sqrt(14)

• sqrt(147)

• sqrt(49)

• sqrt(28)

How can you simplify sqrt(147) further?

• By expressing it as sqrt(49) * sqrt(3)

• By expressing it as 3 * sqrt(7)

• By expressing it as sqrt(21) * sqrt(7)

• By expressing it as 7 * sqrt(3)

What does the square root operation ask you to find?

• A number that is half of the radicand

• A number that multiplies by itself to give the radicand

• A number that adds up to the radicand

• A number that divides evenly into the radicand