Exponent Rules and Properties

The video covers Math 8 Unit 7 Lesson 8 on combining bases with different exponents. It includes activities to explore expressions with same exponents but different bases, and products of expressions. The lesson concludes with a summary and homework solutions.

What is the first step in evaluating an expression with different bases?

• Multiply the bases together.

• Add the exponents.

• Subtract the exponents.

• Evaluate each base separately.

When multiplying expressions with the same exponent but different bases, what can you do?

• Divide the bases.

• Add the bases.

• Multiply the bases and keep the exponent.

• Subtract the bases.

In the activity, how is the expression 3^2 * 7^2 simplified?

• By subtracting the exponents.

• By multiplying the bases and keeping the exponent.

• By adding the bases.

• By dividing the bases.

What is the result of deconstructing the number 15 in the expression 15^3?

• 3 * 5

• 5 * 3

• 15 * 1

• 10 * 5

How do you handle variables in expressions with the same exponent?

• Ignore the variables.

• Combine the variables with the bases.

• Multiply the variables separately.

• Add the variables.

Can you write 2^3 * 3^4 with a single exponent?

• Yes, by adding the exponents.

• No, because the bases are different.

• Yes, by multiplying the bases.

• No, because the exponents are different.

What happens when you multiply expressions with the same base?

• You add the exponents.

• You subtract the exponents.

• You multiply the exponents.

• You divide the exponents.

What is true about squaring an odd number?

• It results in a multiple of three.

• It results in a prime number.

• It results in another odd number.

• It results in an even number.

What is the rule for dividing expressions with the same base?

• Add the exponents.

• Subtract the exponents.

• Multiply the exponents.

• Divide the exponents.

Which statement is true for expressions with the same base?

• You subtract the bases.

• You add the bases.

• You multiply the exponents.

• You add the exponents.