Understanding Exponents and Their Properties

This video tutorial covers the concept of negative exponents, building on previously learned exponent rules. It explains how negative exponents represent reciprocals and provides proofs and examples to illustrate this concept. The lesson includes practice exercises and an exit ticket to reinforce learning. Students are encouraged to use additional resources like Khan Academy for further practice.

What is the result of any base raised to the zero power?

• Negative one

• Zero

• The base itself

• One

When multiplying two exponents with the same base, what should you do with the exponents?

• Add them

• Multiply them

• Divide them

• Subtract them

What does a negative exponent indicate about the base?

• It should be squared

• It should be halved

• It represents a reciprocal

• It becomes zero

How can you express 3 to the power of negative 5 using positive exponents?

• 3 times 5

• 5 over 3

• 3 to the power of 5

• 1 over 3 to the power of 5

What pattern is observed when reducing exponents by one in a sequence?

• The base doubles

• The result is divided by the base

• The exponent becomes zero

• The base is squared

How do you convert a decimal like 0.7 into exponential form?

• 7 times 10 to the power of 0

• 7 times 10 to the power of 1

• 7 times 10 to the power of 2

• 7 times 10 to the power of -1

What happens to a negative exponent when it is already in the denominator?

• It stays negative

• It becomes zero

• It moves to the numerator and becomes positive

• It doubles

In the expression 3 times 10 to the negative 2, what is the correct way to simplify it?

• 3 times 10

• 3 over 10 squared

• 3 times 10 squared

• 3 over 10

What is the simplified form of x to the negative third power?

• 1 over x cubed

• x cubed

• x to the power of three

• x to the power of zero

What should you do if you encounter a negative exponent in a problem?

• Multiply it by two

• Ignore it

• Convert it to a positive exponent by moving it to the other part of the fraction

• Add one to it