Exponent Facts
What is the purpose of an exponent?
It tells us how many times to use the base
Name or describe the two variations of the Multiplication Rule
Same Bases, keep, add the exponents.
Same Exponents, keep, multiply the bases.
Name or describe the two variations of the Division Power Rule
Same exponents, keep, divide the bases.
Same bases, keep, subtract the exponents.
What is the visual clue and operation used for Power to Power Exponent Rule?
parenthesis, with an exponent on the outside; multiply
If a fraction has exponents in the numerator and denominator with terms being multiplied and all of it is within parenthesis raised to a power, what operation should be used first?
Multiplication because of the parenthesis with the outside exponent
How is the base used?
It is used as a factor in repeated multiplication
If two terms, each with an exponent, are being multiplied, and one of those exponents is zero, what will be the answer?
One
(4^8) / (4^3) = ?
4^5
(x^5)^4
x^20
When there is a fraction line under two or more terms, what operation IS NOT going to be first?
Divide
What does every number and variable have, whether you see it or not?
An exponent
5^3 x 8^3 = ?
40^3
(15^6) / (5^6) = ?
3^6
8x12y24
(2x2)3 / x4 Evaluate
8x2
Any variable or number, term or expression, with an exponent of zero, equals what?
One, every time!
6^5 x 6^11 = ?
6^16
(9^7) / (9^6) = ?
9^1 or 9
(4x2y3z)2 Evaluate
16x4y6z2
(j5k4)2 / j2k5
j8k3
What is the best description or definition of exponents?
Repeated multiplication
(-b^3)(-b^5)(-b^2)= ?
b^10
(a^10)(b^8) / (a^5)(b^2) = ?
(a^5)(b^6)
(-23xyz2)0
1
x3y7z4 / xy3z
x2y4z3