Rules of Powers Flashcards

1
Q

What are the steps to solve a squared square root WITH PARENTHESIS?

A

1) find the square root first

2) square that number last

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2
Q

What are the steps to solving a squared square root WITHOUT PARENTHESIS?

A

1) Square first

2) Find root last

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3
Q

How to solve multiplying numbers raised to powers?

A

Add the exponents (but only use this when the base is the same)

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4
Q

How to solve dividing numbers raised to a number

A

Subtract the exponents (use only when bases are the same)

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5
Q

How to solve raising powers to powers WITH PARENTHESIS?

A

Multiply the exponents

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6
Q

How to solve raising powers to powers WITHOUT PARENTHESIS?

A

Raise the first exponent to the second exponent

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7
Q

Raising a number to 0 always equals what?

A

1

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8
Q

Raising a number to a negative power equals?

A

1 divided by that number to the positive power

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9
Q

Dividing 1 to a power is the same as?

A

Flipping the symbol of the power

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10
Q

Square root and squares together do what?

A

Cancel out

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11
Q

Raising a number to a 1/2 is the same as doing what?

A

Finding the square root

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12
Q

Raising a number to 1/3 power is the same as what?

A

Finding the cube root

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13
Q

Raising to 1/4 is the same as what?

A

Finding the 4th root

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14
Q

Raising to 1/6 is the same as what?

A

Finding the 6th root

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15
Q

How to raise a number to 2/3?

A

Raise the number to 1/3, then square

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16
Q

How to raise a number to 3/4?

A

Raise the number to 1/4, then cube

17
Q

How to raise a number to 1/5?

A

Find the 5th square root

18
Q

How to solve a number raised to 13/17?

A

Raise the number to the 17th power, then take the root of 13

19
Q

Exponents can be distributed onto numbers_______?

A

Being multiplied or divided

20
Q

____ can be distributed into numbers being multiplied or divided

A

Roots and exponents

21
Q

Roots and exponents are unable to be distributed onto?

A

Addition and subtraction

22
Q

What does finding the square root mean?

A

Looking for the number that when squared, equals the number in the square root symbol.

23
Q

What does simplifying a square root mean?

A

That there are no more factors under the root

24
Q

What do you do when the numbers being multiplied don’t have square roots?

A

Multiply the two numbers and see if the sum has a square root