Rational Exponents

Rational Exponents

First lets review exponents and square root

What do you remember?

Multiple Choice

Write each product using an exponent. 
4 x 4 x 4 x 4 x 4 

• 4⁵
• 5⁴
• 4⁶
• 4⁶

Multiple Choice

√16 is equal to-

• -16
• 4
• 256
• 8

Fill in the Blank

What is the value of (-2)^3?

Multiple Choice

√64

• 3

• 8

• 7

• 6

Multiple Choice

7⁰ is equivalent to:

• 7

• 0

• 1

• 1/7

Fill in the Blank

4⁰

Multiple Choice

Which is greater, 2654⁰ or 5⁰?

• 2654⁰

• 5⁰

• They are the same

• Zero is greater

Multiple Choice

Who is this?

• Mr. Krabs

• Ms.Puff

• Spongebob

• Patrick

Rational Exponents

• The numerator (top of the fraction) is the exponent

• Hint: exponent goes at the TOP of the number

• The denominator (bottom of the fraction) is the root

• Hint: the roots are at the BOTTOM of the tree.

Multiple Choice

Write the expression in radical form.

x^3/4

• ∜x³

• ∛x⁴

• x^.75

• √x²

Multiple Choice

Write in exponential form

∛x⁷

• $x^{\frac{7}{3}}$
  

• $x^{\frac{3}{7}}$
  

• 3x⁷

• 7x³

Multiple Choice

• 7³

• 7

• 7^3/4

• 7^4/3

Multiple Choice

HINT: what exponent is at the 2? It is "invisible"

• 2^1/6

• 64

• 6^1/2

• 2⁶

Multiple Choice

HINT: what root is it? It is "invisible"

• 216

• 6^1/2

• 6²

• 6^3/2

Multiple Choice

Write the expression in radical form.

x^7/2

• √x⁷

• 7√x²

• 7x²

• ∛x⁷

Multiple Choice

HINT: both are invisible.

• 7²

• 7^1/2

• 7^-2

• 7^-1/2

Multiple Choice

What State is Red?

• Alaska

• Maine

• Hawaii

• Texas

Lets step it up a tiny bit

•  $\sqrt{x^4y^6}$  

• *square root means denominator is 2

•  $x^{\frac{4}{2}}y^{\frac{6}{2}}$  

• Simplify each fraction

•  $x^2y^3$  

Multiple Choice

Simplify.

•  $x^3y^9$  

•  $x^2y^9$  

•  $x^2y^4$  

Multiple Choice

How many days are there in a leap year?

• 365

• 356

• 366

• 29