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Mathematics 23 Online
OpenStudy (lolox):

This is the question

OpenStudy (studygurl14):

What's the question?

OpenStudy (lolox):

The attachment or is it not shown?

OpenStudy (lolox):

@studygurl14 ^

OpenStudy (studygurl14):

Do you need help with all of them or just the 25^-2 one?

OpenStudy (jackthegreatest):

yay this time its right side up

OpenStudy (studygurl14):

@Lolox

OpenStudy (jackthegreatest):

A: correct B: yes C: -4 D: 8

OpenStudy (jackthegreatest):

E:-7

OpenStudy (jackthegreatest):

ok for the next few I ask you participate @Lolox

OpenStudy (lolox):

The ones that are blank @studygurl14

OpenStudy (lolox):

Ok @jackthegreatest

OpenStudy (studygurl14):

ok

OpenStudy (studygurl14):

So for #3, as jack already stated, it is -4. Because 25 = 5^2, so 25^-2 = (5^2)^-2 = 5^(2x-2) = 5^-4

OpenStudy (lolox):

Ok

OpenStudy (studygurl14):

2^5 = 32, so 32^(8/5)= (2^5)^(8/5) = 2^8

OpenStudy (studygurl14):

k, now the next one. 2^5 = 32, so 32^(-7/5) = (2^5)^(-7/5) = 2^-7

OpenStudy (studygurl14):

Okay, so the next one. What power of 3 = 81? In other words, \(\large 3^x = 81\) What's x?

OpenStudy (studygurl14):

@Lolox

OpenStudy (jackthegreatest):

@Lolox in order to match the exponent bases, just think of what power would make them the same For Example: \[9^8 = 3^?\] \[9^8 = 3^2 3 ^8\] \[9^8 =3^{2 \times 8}\] \[9^8 = 3^{16}\]

OpenStudy (lolox):

X = 4

OpenStudy (lolox):

@ stargurl14

OpenStudy (lolox):

Study *

OpenStudy (jackthegreatest):

@Lolox yes x = 4

OpenStudy (jackthegreatest):

so what is \[3^{7/4 \times 4}\]

OpenStudy (studygurl14):

^

OpenStudy (studygurl14):

Remember how fractions work...the 4s will cancel out to get...?

OpenStudy (lolox):

Oh yhh

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