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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
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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
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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
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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
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OpenStudy (lolox):
@ stargurl14
OpenStudy (lolox):
Study *
OpenStudy (jackthegreatest):
@Lolox yes x = 4
OpenStudy (jackthegreatest):
so what is
\[3^{7/4 \times 4}\]
OpenStudy (studygurl14):
^
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OpenStudy (studygurl14):
Remember how fractions work...the 4s will cancel out to get...?