Zero as an Exponent

Zero as an Exponent

Please watch the video on Zero as an Exponent that is linked in the google classroom before you work your way through these slides.

Multiple Select

Any nonzero number to the zero power is equivalent to 1.

• I watched the short video on this and I understand why the answer is 1.

• Don't worry, Mrs. George, I am taking notes on all of this =)

• Both of these are correct!

Multiple Choice

6⁰

• 6

• 0

• 1

Multiple Choice

(x+y)⁰

• 0

• 1

• x+y

Multiple Choice

m⁰

• 1

• 0

• m

Multiple Choice

 $\left(\frac{1}{4}\right)^0$  

• 0

• 1

• 1/4

The Zero Exponent Rule can be used in combination with the other exponent rules that you have learned.

 $x^{0^{ }}\cdot x^2\cdot x^4$  

• All you would need to do here is add the exponents. 0+2+4=6  The answer would be  $x^6$  

 $\left(\frac{1}{2}\right)^0\ +\ 7^{0\ }+\ y^0$   

• If you look at each one of these terms in isolation, each one      equals 1.

• The answer to this problem would be 1+1+1=3.

What happens when we have -5⁰

• You MUST remember that the zero is being applied to the 5, not -5

• 5⁰ is equal to 1, but you cannot forget to bring the "-" sign down into the answer.

• The answer to this would be -1.

Multiple Choice

-9⁰

• -9

• 0

• 1

• -1

Multiple Choice

-x⁰

• 0

• 1

• -1

• x

Multiple Choice

4⁰ + -4⁰

• 0

• 1

• -1

• 4

Multiple Choice

 $\left(\frac{5x^2+\ 6y^3}{x\ +\ 2y}\right)^0$  

• 0

• 1

• -1

• x + 3y