Exponent Rules Flashcards

1
Q

What are the first 11 non-negative cubes?

A

0, 1, 8, 27, 64, 125, 216, 343, 512, 729, 1,000

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2
Q

What are all of the perfect squares up to 225?

A

0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225

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3
Q

Simplify √72.

A

6√2

This is because √72 is equal to √36 * √2. We know that √36=6. 2 is prime so the simplest form is 6√2

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4
Q

estimate √2

A

about 1.4

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5
Q

estimate √3

A

about 1.7

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6
Q

estimate √5

A

about 2.2

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7
Q

estimate √6

A

about 2.4

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8
Q

estimate √7

A

about 2.6

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9
Q

estimate √8

A

about 2.8

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10
Q

what is d^3/4

A

∜(d^3)

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11
Q

what is ∛(a^2 ) * ∛(a^3 )

A

∛(a^5 )

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12
Q

What is ∛24 / ∛3 ?

A

∛8 = 2

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13
Q

2√10 * 4√7 = ?

A

8√70

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14
Q

What is the solution if: x^2/5+x^2/100 is all under one radical

A

(|x|√5)/10

do not take the square roots separately. Solve what is under the radical first and then take the square root

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15
Q

What is (a + √b) (a - √b)?

A

a^2 - b

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16
Q

What is the sum of all possible values of x if (x + 6)^2 = 49?

A

-12

x could be -13 or 1, the sum is -12

17
Q

(x^a)(x^b) = ?

A

x^(a+b)