alrighty despite falling asleep for a quick sec today i've been put in charge to summarize the lesson so here she is: basically lesson 1.5 was a review of some stuff about exponents that we did last year. do i remember this? lets not talk about it. but today we covered 7 of the 10 rules for exponents. the first one is for exponents of 1 and 0. to summarize, anything with an exponent of 1 is just itself (for example, 5 to the power of 1 is just 5), and anything with an exponent of 0 is simply 1. next is the product rule. this is the rule that says if two of the same number with exponents are being multiplied, all you have to do is keep the original number and change the exponent to the sum of both exponents. for example, if you had 2 to the power of 3 multiplied by 2 to the power of 2, it would be two to the power of 5 (i don't know how to type exponents so we can just stick with writing it out lol). this rule also states that the number that is being multiplied cannot be 0. thiiiiiiird is the quotient rule. this is basically for the reverse of the product rule, where if its division of two of the same number with exponents, you subtract the numerators exponent by the denominators exponent. again, the number cannot be 0. numero quatro is the power rule. i don't know how to use my words and i don't know how to make the little tiny numbers so heres a drawing of an example. its pretty straight forward tho so we chillin ------------------> basically like,,, if a number with an exponent is multiplied by an exponent, just add the exponents together. yikes. rule number 5 is for raising a product to the power. this is when you have an equation in brackets and an exponent outside of the brackets, like (3x)2. this just means 3x • 3x , or (3 • 3) • (x • x). an easy way to solve this is to multiply both things inside the brackets by the exponent separately. again, apparently i can't construct comprehensive sentences so heres a drawing that will hopefully make more sense ↓ also this rule only applies to monomials. ok rule 6: raising a fraction to a power. to do this, take a fraction in brackets with an exponent outside and put the exponent on both the numerator and denominator, and find the final fraction. not even gunna try to write this out so here -------> final rule. thank god. its negative exponents! heres a video to explain these and thats it. what a ride. honestly exhilarating. hope you had fun, i didn't. good luck decoding that horrific page of nonsense.
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Find your green dot!AuthorsWe are members of Esquimalt High School's Gifted Math 10 class. Most of us like Hi-Chews. Archives
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