(6^2)^x = 1, what is the value of x? Explain your answer!
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OpenStudy (spring98):
@madhu.mukherjee.946
OpenStudy (spring98):
@Nnesha @sleepyjess @peachpi @mathlover2014
OpenStudy (spring98):
@misty_fox @
rishavraj (rishavraj):
hint
a^0 = 1
rishavraj (rishavraj):
and
(a^x)^y = a^{xy}
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OpenStudy (spring98):
Can you explain this to me step by step i don't get this. plz
OpenStudy (spring98):
anyone?
OpenStudy (anonymous):
x = 0 because anything raised rto the 0 power is 1
OpenStudy (madhu.mukherjee.946):
6^2=36
so 36 ^0 =1
OpenStudy (spring98):
Can you also help me with this one plz? this is part B.
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OpenStudy (madhu.mukherjee.946):
this is an indices property that anything raised to the power is 0
OpenStudy (spring98):
If (60)x = 1, what are the possible values of x? Explain your answer.
OpenStudy (madhu.mukherjee.946):
60x=1
x=1/60
OpenStudy (madhu.mukherjee.946):
this 60 multiplied to x and that was 36^x
OpenStudy (anonymous):
Assuming you mean 60^x=1, that's exactly the same question.
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OpenStudy (madhu.mukherjee.946):
@Spring98
OpenStudy (madhu.mukherjee.946):
is it 60^x 0r 60 x
OpenStudy (spring98):
It is not the same question how do i do part B?
OpenStudy (madhu.mukherjee.946):
what is part b?
OpenStudy (madhu.mukherjee.946):
60x=1
x=1/60
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OpenStudy (madhu.mukherjee.946):
@Spring98
OpenStudy (anonymous):
a. (6^2)^x = 1
b. 60^x = 1
These are the same problem with a different number in parentheses.
If anything raised to the \(0\) power is 1, what does x have to be?
OpenStudy (spring98):
So is both Part A and Part B have the same answer?
OpenStudy (anonymous):
yes.
OpenStudy (madhu.mukherjee.946):
nope
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OpenStudy (madhu.mukherjee.946):
part is (60)x=1
x=1/60
OpenStudy (spring98):
there can not be such answers in exponents or can there?
OpenStudy (anonymous):
@Spring98 yes there can be. that's called a rational exponent, my guess is you'll get there shortly. You should use 60^x to indicate exponents @madhu.mukherjee.946 was asking you to clarify the question above.
OpenStudy (anonymous):
60x = 1 is different from 60^x = 1
OpenStudy (madhu.mukherjee.946):
thats what i'm saying
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OpenStudy (spring98):
sdo both the answers are 1 then right?
OpenStudy (spring98):
@peachpi @madhu.mukherjee.946
OpenStudy (anonymous):
The right side of all these equations are 1. The exponents are all 0. What are you looking for in your questions, the exponent or the right side?|dw:1442594854616:dw|