Simplifying Expressions with Different Bases

The video tutorial explains how to simplify expressions with different bases by using exponent laws. It covers the multiplication and division laws of exponents, the power to power rule, and how to handle expressions with the same exponent but different bases. The tutorial provides examples and step-by-step explanations to help students understand these concepts.

What is the multiplication law of exponents when the bases are the same?

• Multiply the bases and subtract the exponents

• Keep the base and subtract the exponents

• Keep the base and add the exponents

• Multiply the bases and add the exponents

How can you simplify 4 to the fifth power multiplied by 2 to the negative third power?

• Rewrite 4 as 2 squared and then apply the multiplication law of exponents

• Rewrite 2 as 4 squared and then apply the multiplication law of exponents

• Keep the bases as they are and add the exponents

• Multiply the bases directly

What is the rule for raising a power to another power?

• Subtract the exponents

• Add the exponents

• Multiply the exponents

• Divide the exponents

How do you simplify 2 to the 10th power multiplied by 2 to the negative third power?

• Multiply the bases and subtract the exponents

• Multiply the bases and add the exponents

• Keep the base and subtract the exponents

• Keep the base and add the exponents

What is the division law of exponents when the bases are the same?

• Keep the base and add the exponents

• Multiply the bases and subtract the exponents

• Keep the base and subtract the exponents

• Multiply the bases and add the exponents

How can you simplify 27 to the fourth power divided by 3 to the third power?

• Rewrite 27 as 3 cubed and then apply the division law of exponents

• Multiply the bases directly

• Rewrite 3 as 27 cubed and then apply the division law of exponents

• Keep the bases as they are and subtract the exponents

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

• Divide the bases and keep the exponent

• Subtract the bases and keep the exponent

• Multiply the bases and keep the exponent

• Add the bases and keep the exponent

How can you simplify 2 to the 5th power multiplied by 3 to the 5th power?

• Rewrite 3 as 2 squared and then apply the multiplication law of exponents

• Rewrite 2 as 3 squared and then apply the multiplication law of exponents

• Multiply the bases and keep the exponent

• Keep the bases as they are and add the exponents

What property allows you to rearrange expressions when multiplying?

• Distributive property

• Commutative property

• Associative property

• Identity property

What is the result of multiplying 2 times 3 and raising the product to the fifth power?

• 6 to the 5th power

• 2 to the 3rd power

• 3 to the 2nd power

• 5 to the 6th power