M1L4-ZEROTH POWER

M1L4-ZEROTH POWER

by Tiffany Weekly

Zero Exponent

• Every time your exponent gets bigger you multiply by the base one more more time

• So every time your exponent gets smaller, you divide by the base.

• When I go from an exponent of 1 to Zero, I divide my base by itself and end up with 1 (one)

The Short Cut?!

Anything raised to the Power of Zero equals One

x⁰=1

Multiple Choice

m⁰

• 1

• 0

• m

Multiple Choice

(x+y)⁰

• 0

• 1

• x+y

Multiple Choice

Are the following expressions equal?

$$\left(1.23491\right)^0\ =\ \left(\frac{2x}{32}\right)^0$$  

• Yes 👍

• No 👎

Multiple Choice

Simplify -4x⁰

• -4

• -1

• 1

• 4

• 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

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

• 0

• 1

• -1

• x + 3y

Open Ended

In your own words, what have you learned today?