Vocab
In an expression of the form xn what does n represent? It indicates the number of times x is used as a factor
Exponent
What is the base of the following expression
52
5
When multiplying variables, you do this to the exponents.
What is add the exponents?
When dividing variables, you do this to the exponents.
What is subtract the exponents?
When raising a variable to a power, what do you do to the exponents?
What is multiply the exponents?
If you have a negative exponent in the numerator, what do you have to do to make it positive?
Move it to the denominator.
In an expression of the form xn what does x represent?
Base
What is the exponent of the following expression
37
7
Simplify:
2x^5 * x^7
2x^12
Simplify:
x^7/x^3
x^4
Simplify:
(x^4)^5
x^20
If you have a negative number in the denominator, what do you have to do to make it positive?
In an algebraic expression, what is the number in front of a variable?
Coefficient
What is the constant in 2x2+7?
7
Simplify:
(4f^8)(6f^4)
24f^12
Simplify:
(2x^6)/(6x^5)
x/3
Simplify:
4(y^3)^2
4y^6
Simplify:
4x^-8
4/x^8
What do we call a number that does not have a variable?
Constant
Evaluate 6x2-x3, when x=3
24
Simplify:
4x2(6x3)
24x5
Simplify:
(8x^10)/(4x^3)
2x^7
Simplify:
(x^3y^2)^6
x^18y^12
Simplify:
X-3 / X3
1/X6
For any real number a ≠ 0 and any integer n,
a-n = 1/an and 1/a-n = an
Negative Exponent
Evaluate x4y2, when x=2 and y=-5.
800
Simplify:
(8r^5)(2r^-7)
16/r^2
Simplify:
(w^6u^2)/(w^3u^9)
w^3/(u^7)
Simplify:
(x2yz3)8
x16y8z24
Simplify:
(3x^-8)(6x^4)
18/(x^4)
For any nonzero number a, a0= what number.
What is 1?
What is Ms. Sampson's favorite band?
BTS
Simplify:
(7s^5p^3)(3s^6p^-5)
(21s^11)/p^2
(4x^2m^4x^5)/(8x^8m^8)
m^4/(2x)
Simplify:
(8w^3y^7)^0
1
Simplify: 9y-4(4y3)
36/y