The Real Number System
Powers and Exponents
Monomials
100
Write 0.17 as a fraction.
17/99
100
Write using exponents. (-3)(-3)(-3)(-3)
(-3)^4
100
Simplify. Express using exponents. 9^3 * 9^2
9^5
200
Write 8.75 as a fraction.
8 3/4
200
Write using exponents. n*(1/4)*p*n*(1/4)
(1/4)^2 * n^2 * p
200
Simplify. Express using exponents. -3x^2 * 4x^5
12x^7
300
Write 4/5 as a decimal.
0.8
300
Evaluate the expression. 8^2 - 5^2
64 - 25 = 39
300
Simplify. Express using exponents. 6^(-4)/6^(-7)
6^3
400
What is the definition of a "rational number?"
Numbers that can be written as a ratio, expressed as a fraction. (whole #s, terminating decimals, and repeating decimals with a pattern.) Ex. 0.8 , 9, square root of 25, 0.555..., 16, 0.131313...
400
Evaluate (2/3)^4
(2/3)(2/3)(2/3)(2/3)(2/3) = (16/81)
400
Simplify. (-5w^2z^8)^3
-125w^6z^24
500
What is the definition of an "irrational number?"
Numbers that cannot be expressed as a fraction. (They do not have a pattern, they continue on randomly forever) Ex. square root of 7, twopi, square root of 11, 0.347845...
500
Evaluate the expression. x^3 + y ^4, if x = -3 and y = 4
(-3)^3 + (4)^4 =-27 + 256 =229
500
Write using a positive exponent and then evaluate. 3^2 * 5^-6
1/3^4 = 1/81
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