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Mathematics 22 Online
OpenStudy (jordanloveangel):

help

OpenStudy (anonymous):

what are the choices

OpenStudy (jordanloveangel):

there is no choices

OpenStudy (anonymous):

just a sec

OpenStudy (jordanloveangel):

kk and thx

OpenStudy (anonymous):

its either 8^-19 or 8^14/8^5 youll have to c what u r learning in your section

OpenStudy (jordanloveangel):

Core Focus: Working with Exponents

OpenStudy (jordanloveangel):

@SolomonZelman

OpenStudy (danjs):

Hi

OpenStudy (danjs):

\[\frac{ 8^{-5} }{ (8^{-7})^2 }\]

OpenStudy (danjs):

do you remember the rule, a power raised to a power, you multiply the powers together

OpenStudy (jordanloveangel):

wait dont u have 2 like divide?

OpenStudy (danjs):

\[(8^{-7})^2 = 8^{-7 * 2} = 8^{-14}\]

OpenStudy (danjs):

i would do that to the denominator first

OpenStudy (danjs):

\[\frac{ 8^{-5} }{ 8^{-14} } = \frac{ 8^{-5}*8^{14} }{ 1 } = 8^{-5 + 14} = 8^{9}\]

OpenStudy (jordanloveangel):

so then the answer becomes 9

OpenStudy (danjs):

If you move the number to the other side of the fraction, you change the sign on teh exponent, and when you multiply like bases raised to exponents, you add the exponents

OpenStudy (danjs):

\[\frac{ 1 }{ a ^{-b} } = \frac{ a ^{b} }{ 1 }\] moving to other side of fraction and \[a^b*a^c = a ^{b+c}\] addition of powers

OpenStudy (danjs):

and power raised to a power \[[a^b]^c = a ^{b*c}\]

OpenStudy (danjs):

those are the three rules

OpenStudy (jordanloveangel):

oh okay i see thx and so the answer would be 8^9 right

OpenStudy (danjs):

yep

OpenStudy (jordanloveangel):

oh okay thank you soooo much

OpenStudy (danjs):

write down those 3 rules, and notice the bases are the same, if the bases are different , you cant multiply or add the exponents

OpenStudy (jordanloveangel):

thats wut im doing lol

OpenStudy (danjs):

ha, cool

OpenStudy (jordanloveangel):

^_^

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