DA RULES
When multiplying the same base, what do you do to the exponents? (Bonus points for Law name)
Add (Product Law/Product of Powers Law)
Simplify the expression. x6 * x2
x8
WITHOUT A CALCULATOR
solve me: (-8)3
-512
Create and solve a problem featuring the Product Law of Exponents
xa * xb = xa+b
What does it mean to raise a number to an exponent of 4?
Multiply that number by itself 4 times.
When dividing the same base, what do you do to the exponents? (Bonus points for Law name)
Subtract. Quotient Law/ Quotient of Powers
Simplify me!
x7/x3
x4
WITHOUT A CALCULATOR
Solve this: 3.42
11.56
Create and solve a problem featuring the Quotient Law of Exponents
ax / ay = ax-y
Any base to the power of zero is? (Bonus points for Law name)
1 (Zero Exponent Law)
When raising a power to another power, what do you do with the exponents? (Bonus points for Law name)
Multiply (Power Rule/ Power of a Power)
Rewrite me in two different ways.
x-5 * x2
x-3 and 1/x3
WITHOUT A CALCULATOR
Solve this: 1/3-4
81
Create and solve a problem featuring the Power Law of Exponents
(ax)y= axy
Any base to the power of 1 is? (Bonus points for Law name)
Itself (Identity exponent Law)
When raising a fraction with different bases to a power, what do you do with the exponent? (Bonus points for Law name)
Distribute to the numerator and denominator. (Power of a Fraction/ Power of a Quotient)
Rewrite me in expanded form.
y-3/y2
1/y*y*y*y*y
WITHOUT A CALCULATOR
Solve this: (1/5)3 (Bonus points for fraction and decimal forms)
1/125 and 0.008
Create and solve a problem featuring the Product Law of Exponents and the Negative Exponent Law
Answers may vary
What is the Negative Exponent Law? DAILY DOUBLE!!!!
When you flip the base to the reciprocal and change the sign of the exponent.
When raising a product of two different bases to a power, what do you do with the exponent? (Bonus points for Law name)
Distribute to each product. Power of a Product Law
Rewrite me in 3 different ways.
(-3)-4 * (-3)5
Division line
(-32)-3 * (-3)0
-2187
(-3)7
-3*-3*-3*-3*-3*-3*-3
WITHOUT A CALCULATOR Solve me.
See Slide.
0.5
1/2
DAILY DOUBLE!!!
Create and solve a problem featuring the Quotient Law of Exponents, the Power Law of Exponents and the Negative Exponent Law.
Answers may vary
I ran out of rules...what do you do if you have a fraction as an exponent? (Bonus points for Law name)
Write the base with the exponent of numerator and inside a root with an index of the denominator. Fractional exponent law.