Rules of Powers Flashcards
What are the steps to solve a squared square root WITH PARENTHESIS?
1) find the square root first
2) square that number last
What are the steps to solving a squared square root WITHOUT PARENTHESIS?
1) Square first
2) Find root last
How to solve multiplying numbers raised to powers?
Add the exponents (but only use this when the base is the same)
How to solve dividing numbers raised to a number
Subtract the exponents (use only when bases are the same)
How to solve raising powers to powers WITH PARENTHESIS?
Multiply the exponents
How to solve raising powers to powers WITHOUT PARENTHESIS?
Raise the first exponent to the second exponent
Raising a number to 0 always equals what?
1
Raising a number to a negative power equals?
1 divided by that number to the positive power
Dividing 1 to a power is the same as?
Flipping the symbol of the power
Square root and squares together do what?
Cancel out
Raising a number to a 1/2 is the same as doing what?
Finding the square root
Raising a number to 1/3 power is the same as what?
Finding the cube root
Raising to 1/4 is the same as what?
Finding the 4th root
Raising to 1/6 is the same as what?
Finding the 6th root
How to raise a number to 2/3?
Raise the number to 1/3, then square
How to raise a number to 3/4?
Raise the number to 1/4, then cube
How to raise a number to 1/5?
Find the 5th square root
How to solve a number raised to 13/17?
Raise the number to the 17th power, then take the root of 13
Exponents can be distributed onto numbers_______?
Being multiplied or divided
____ can be distributed into numbers being multiplied or divided
Roots and exponents
Roots and exponents are unable to be distributed onto?
Addition and subtraction
What does finding the square root mean?
Looking for the number that when squared, equals the number in the square root symbol.
What does simplifying a square root mean?
That there are no more factors under the root
What do you do when the numbers being multiplied don’t have square roots?
Multiply the two numbers and see if the sum has a square root