Rational Exponents / Exponent Rules

Which of the following describes a rational number?

• Positive and negative whole numbers

• Numbers that CANNOT be represented as a fraction of integers

• Numbers resulting from taking the square root of a negative number

• Any number

  $\frac{a}{b}$ such that a, b are integers and $b\ne0$

Tags

CCSS.8.NS.A.1

Exponent Rules: Zero Rule

 $x^{0\ }=_{ }$  

• 0

• 1

• x

•  $0^x$  

Tags

CCSS.8.EE.A.1

Exponent Rules: Product Rule

 $a^x\cdot a^y=$  

•  $a^{x\cdot y}$  

•  $a^{x+y}$  

•  $a^x+a^y$  

Tags

CCSS.8.EE.A.1

Exponent Rules: Quotient Rule

 $\frac{a^x}{a^y}=$  

•  $a^{x-y}$  

•  $a^{\frac{x}{y}}$  

•  $a^{x+y}$  

Tags

CCSS.HSA.APR.A.1

Exponent Rules: Power of a Power Rule

 $a^{x^y}\ or\ \left(a^x\right)^y\ =$  

•  $a^{x+y}$  

•  $a^{x\cdot y}$  

•  $a^xa^y$  

Tags

CCSS.HSA.APR.A.1

Exponent Rules: Power of a Product

 $\left(ab\right)^x=$  

•  $a^x+b^x$  

•  $a^{bx}$  

•  $a^xb^x$  

Tags

CCSS.8.EE.A.1

Exponent Rules: Negative Exponent

 $a^{-x}=$  

•  $-a^{-x}$  

•  $-a^x$  

•  $\frac{1}{a^x}$  

•  $-\frac{1}{a^x}$  

Tags

CCSS.8.EE.A.1

Exponent Rules: RATIONAL EXPONENT

 $a^{\frac{x}{y}}=$  

•  $\ ^y\sqrt{a^x}$  

•  $a^x-a^y$  

•  $\frac{a^x}{a^y}$  

Tags

CCSS.8.EE.A.1

CCSS.8.EE.A.2

How do you feel about exponents so far?

• I'm a master, give me a real challenge!

• I'm getting there but still need some practice

• I feel okay, they're kind of confusing

• I don't really understand, I should probably check out tutoring with Mr. Studiner Mondays & Wednesdays 2:30-3:30 or Mr. M Tuesdays-Thursdays 3:00 - 4:00.

Tags

CCSS.6.EE.A.1

Simplify the following:
 $\left(x^3y\right)^2$  

•  $x^5y^2$  

•  $x^6y^2$  

•  $x^1y^{-1}$  

•  $2x^3y$  

Tags

CCSS.HSA.APR.A.1