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and can you explain this rule to me?

because 2 is raised to a negative power.

that doesn't really help ..

thats one of the exponent rules. read your book or use google!

a negative exponent is the reciprocal of the positive
so x^-2 = 1/(x^2) = 1/5
and 5^-2 = 1/25

^-----This

yea it a rule, learn it, live it, love it!

thank you very much

You will see it again when learning derivatives!

just try to have fun with it!

i can't. math is the death of me :(

no, it just patterns and rules. Like a language.

wait! wouldn't it equal 5^ -2?

5^ -2 = 1/5^2 = 1/25

is that a yes..

yes

so if the rule was 1/a^m = a^ -m......a and m can switch basically?

let me be clear x^-b = 1/(x^b), yes?

so like 1/25 = 1/5^2 = 5^-2 WHICH IS ALSO 2^ -5 so the "a" and "m" switched

yes...

but am i right...what i said?

clear now? Thats the rule, among many :)

please respond to what i said before...

about a and m switching ?? lemme look at it.

can the two values switch like that....like 5^ -2 = 2^ -5

am i right to say that

wait what?

"1/25 = 1/5^2 = 5^-2 WHICH IS ALSO 2^ -5 " this is not true
2^-5 = 1/( 2^5) = 1/32- I misstyped.

okay. do u mind giving me a few of these to practice...like quizzing me i guess lol

sure 3^-3

ummm oh god

lets see..

1/3^3

ugh im wrong

so far so good- and what is 1/(3^3)?

that would be 3^-3

yes, thats true too but what is 3^3?

27

so 1/(3^3) = 1/27 right?

can u give me one where a and m are different numbers

2^-3

okay so this would be 1/2^3

so 1/8

:-)

yes! so you seem to understand.

can u do one with very big numbers? well like somewhere in the 200s-300s?

sure 222^-300

uh oh.... umm lemme think

1/222^300

okay i think i got this now ! just gotta memorize that rule! :D

are you gonna be online bc i might have more questions :)

you might want a calculator at this point,
The rule x^-n = 1/(x^n) is true for ALL number

I will be around until Im not :)

we are not allowed to use calculators on our quiz :(

study hard.

oh my goodness. are you like a math teacher or something. you are so good at this stuff

no, Im a student, like you.

lol i am a junior in high school and i still do not understand this stuff

practice, practice, practice.

ugh. i hate math so much. do you know much about logs

some what is the deal?

hold on give me a minute

you should open another question- there a lot of smart people here.

sure, I will keep an eye out for your questions :)