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What are exponents? what does it tell you?
Exponents are an indicator of how many times a number is being copied, it is an alternative to multiplication.Example) would equal 3 x 3 x 3 = 9 x 3 = 27 and that is the final answer for
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How do brackets affect evaluating a power?
a really common example of brackets in a power equation is if you have the 2 will see the brackets and copy the whole equation, but if you have the exponent only sees the 8 so only copies the 8 not the whole equation, therefore the answer will be positive, not negative
Answer) = (-8)(-8)(-8)= (64)(-8)= -512
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Multiplication law of exponents
the rule for multiplying exponents is really easy, if the bases are the same ( x ) all you have to do is add the exponents together. ( + =
but when the bases are different you use a different rule, if we use the same example of but we switch the second equation to the rule is you do 10 x 10 = 100 and 9 x 9 x 9 x 9 = 6,561 + 100 = 6,661 and your answer would be 6,661
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Division Law of exponents
to do the division law you first have to see if the bases are the same, if they are all you need to do is subtract the exponents, with division it tells you subtraction so if we have ÷ =
But if the bases are different you use a different rule, all you need to do is figure out the powers answer, if we use an example of ÷ = 6 x 6 = 36 and 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 = 6,561÷ 36 = 182.25 an that is how you would do the division law them the bases are different.
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zero power law
any base to the power of 0 will always equal to 1 an example is is equal to 1 (no matter what the base is the answer will always be one from 1-100000000000…….etc. )
another example is divided by will equal to (which is equal to 1, this example is using a mixture of division law and the zero exponent law)
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Power of a power law
what you would need to do in the power of a power law is you use the example of is all you need to do is multiply the exponents together (2 x 3 = 6) so our answer would me
this is used with all numbers, weather it’s negative, positive, or maybe even a fraction.
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BEDMAS
when is a question really a bedmas question? we use the order of operation when there is an equation in brackets an example would be if we have the first thing to do would be the multiplication 4 x 3 =12 and followed by +3 = 15 so now our equation would be 15 x 15= 225 + 1 = 226
to do a question like this all you need to know is Bedmas.