Rational or Irrational
Exponents
Exponents II
Square Roots
Cube Roots And Exponent Laws
100
What is the square root of 110 and WHY?
Irrational because it is not a perfect square. The square root of 110 is not a perfect square, therefore it is a decimal that is non-terminating and doesn't repeat. It cannot be written as a fraction.
100
What is 4 to the -3 in expanded and standard form?
1/4 * 1/4 * 1/4 = 1/64
100
What is 1/x * 1/x * 1/x in exponential form?
X to the power of -3
100
What are the two square roots of 121?
11 and -11
100
What is the cube root of 27 and WHY?
3 because 3*3*3 = 27
200
What is the cube root of 64 and WHY?
Rational because the cube root of 64 is 4 and 4 is an integer.
200
Solve 5 + 5^-2 x (2 x 3^2)
5 + 5^-2 x (2 x 9) 5 + 1/25 x 18 5 + 18/25 5 18/25
200
What is 1/36 in exponential form?
6 ^ -2 Or 36 ^ -1
200
If y cubed is -125, what is y?
y = -5
200
Solve 3^4 x 3^-9 in exponential, expanded, and standard form.
3^-5 = 1/3 * 1/3 * 1/3 * 1/3 * 1/3 = 1/81
300
What is 2.12131415... and WHY?
Irrational because the decimal does not end or repeat. It also cannot be written as a fraction.
300
What is 3 to the power of zero and WHY?
1 because any number to the power of zero is that Buber divided by itself.
300
What is (1/2)^3 in expanded and standard form?
1/2 * 1/2 * 1/2 = 1/8
300
Estimate the decimal for the square root of 8 to the tenths place.
About 2.8
300
What is (10^2)^-2 in exponential and standard form.
10^-4 = 1/10000
400
What is 2 to the power of -5 and WHY?
Rational because 2 to the power of -5 is 1/32 which is a fraction.
400
What is -10 to the power of 2 in expanded and standard form?
-(10*10)=-100
400
If 3 to the power of 8 is 6561, what is 3 to the power of -8?
1/6561
400
If x^2 = 81 what is x?
x = 9 or -9
400
What two consecutive whole numbers does the cube root of 70 fall between?
4 and 5
500
What is cube root of 1/125?
Rational because the cube root of 1/125 equals 1/5, which is a fraction.
500
What is (-7) to the power of 3 in expanded and standard form?
-7*-7*-7=-343
500
what is (-2/5)^-2 in the expanded and standard form?
-5/2 * -5/2 = 25/4
500
If the area of a square bedroom is 169 square feet, what is the length and width of the room and WHY?
Length and width are both 13 feet because 13 times 13 equals 169.
500
What is 6^-3 divided by 6^-4 in exponential and standard form?
-3 - -4 = 1 so 6^1 = 6
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