Exponents
Laws of Exponents
Scientific Notation/Real or Irrational
Pythagorean Theorem and Distance
Square Roots
100
Write 4x4x4x4x4x4x4 in exponential form.
4^7
100
Solve: (-4)^-3 x (-2)^3
1/8
100
Write 2.49 x 10^4 in standard notation
24,900
100
Could the sides lengths of 5, 7, and 9 of a triangle be a right triangle? Explain.
No. 5^2 + 7^2 does not equal 9^2
100
Find all the square roots of 121
+-11
200
Write 3^5 in expanded Form.
3x3x3x3x3
200
Write in exponential form: 7^2/7^-2
7^4
200
Write 56,400,000 in scientific notation
5.64 x 10^7
200
Find the length of the unknown side of a right triangle to the nearest tenth. a = 3, b = 6, and c = ?
6.7
200
√169
13
300
Evaluate the expression, (-3)^3
-27
300
Simplify: (23^3)^15
23^45
300
The thinnest commercial glass is 9.84 x 10^-4 inches thick. The glass of an aquarium is 1000 times as thick. How thick is the aquarium? Write in scientific notation.
9.84 x 10^-1
300
A kite is flying at the end of a taut string 500 feet long. If the kite is directly above a point 400 feet from the end of the string, how high is the kite above the ground?
300 feet
300
What two integers is -√34 between
-5 and -6
400
Evaluate the expression, (-2)^-4
1/16
400
Write in exponential form: 16 x 16^-7
16^-6
400
State if the number is rational or irrational. √27
irrational
400
Find the distance between points (-2, -9) and (4, -3) to the nearest tenth.
8.5
400
What two integers is √136 between
11 and 12
500
Evaluate the expression, m^3 + n^4 for m = -4 and n = -2
-48
500
Simplify: (3+4)^0 + (3-5)^-3
7/8
500
State if the number is rational or irrational. -√81 / √16
rational
500
Find the distance between the two pints to the nearest tenth. (0,7) and (-5,3)
6.4
500
2√36 + √81
21
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