Mistakes when using rules of exponent 1

The video addresses common mistakes students make with exponents, including errors in division, multiplication, zero power, and negative exponents. It emphasizes understanding the correct application of exponent rules and provides strategies to avoid these mistakes, such as expanding expressions and using reciprocal identities.

When dividing exponents, what is a common mistake students make?

• Forgetting to subtract the exponents

• Multiplying the exponents

• Ignoring the base

• Adding the exponents

What should you do when multiplying exponents with the same base?

• Divide the exponents

• Add the exponents

• Subtract the exponents

• Multiply the exponents

What is the value of any number raised to the zero power?

• The number itself

• Zero

• One

• Negative one

How can you understand the rule of zero exponents using a sequence of powers?

• By adding the base repeatedly

• By listing powers and dividing by the base

• By multiplying the base by zero

• By dividing the base by itself

What does a negative exponent indicate?

• An undefined value

• A zero value

• A reciprocal

• A negative number

How can you express 3 to the negative second power?

• As 3

• As 1/9

• As 9

• As -9

What is the result of squaring a reciprocal?

• A smaller reciprocal

• The original number

• A larger reciprocal

• A negative number