Working with Negative Exponents When working with negative exponents, move the variable and change the exponent to positive.

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Presentation transcript:

Working with Negative Exponents

When working with negative exponents, move the variable and change the exponent to positive.

Simplifying Square Roots

Simplify the Square Root

Perfect Squares Not Perfect Squares

Simplify the Square Root What’s the biggest number here that will go into 54 evenly? 9 x 6

Simplify the Square Root

What’s the biggest number here that will go into 72 evenly? 36 x 2

Simplify the Square Root

What’s the biggest number here that will go into 80 evenly? 16 x 5

Simplify the Square Root

The square root of a negative number does not exist. So, we say it is an imaginary number and we use the variable “i”.

The square root of a negative number does not exist. So, we say it is an imaginary number and we use the variable “i”.

The square root of a negative number does not exist. So, we say it is an imaginary number and we use the variable “i”.

Simplify the Square Root What’s the biggest number here that will go into 8 evenly? 4 x 2

Simplify the Square Root

Multiplying Square Roots

Multiply the Square Roots

Fractions as exponents

Square RootCube RootFourth RootFifth Root

What do you multiply by itself to get 4?

What do you multiply by itself 3 times to get 27?

What do you multiply by itself 4 times to get 16?

as exponent means

Numerator is 1

If the numerator is not 1, it becomes the exponent underneath the radical. Outside RadicalUnder Radical

If the numerator is not 1, it becomes the exponent underneath the radical.

If there are 2 exponents, multiply them.