3^-4 = 1/81
*since x^-1 = 1/x
so 3^-4 = 1/3^4
1/ (3x3x3x3) = 1/81
1/(9x9) = 1/81
1/81 = 1/81
2007-09-21 15:07:14
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answer #1
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answered by ZophiE 2
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b^x = n
expressed in logarithmic form is
log base-b n = x
The b is written as a subscript, but I don't know how to do that here. Sorry.
log base-3 (1/81) = -4
log base-3 1 - log base-3 81 = -4
2007-09-21 15:12:21
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answer #2
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answered by cjcourt 4
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3 x 3 x 3 x 3 = 81.
That's 3 to the 4th power.
A negative power is simply dividing 1 by that number.
So 3 to the negative 4th power is 1 / (3 x 3 x 3 x 3).
2007-09-21 15:05:46
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answer #3
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answered by Anonymous
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this is most typically written out like: 3^(-4) = 1/81
when you have any number raised to a NEGATIVE power, you basically do the same thing as if it were a positive number, but put that number over one in fraction form.
3^4 = 3*3*3*3 = 81
so 3^(-4) = 1/81
another example, just to be clear would be: 2^(-3)
it would be 1/8, as 2^3 = 8, but the negative power puts it in the denomitator.
2007-09-21 15:07:27
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answer #4
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answered by toby 2
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3^4 is equal to 81 but since the exponent is negative, it will be 1/81...
to explain further...
Since exponents are another way to write multiplication and the negative is in the exponent, to write it as a positive exponent we do the multiplicative inverse which is to take the reciprocal of the base. Thus;
x^-n=1/x^-n... hope this will help: )
2007-09-21 15:05:31
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answer #5
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answered by criselda 3
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Yes - It's the same thing as 1/(3x3x3x3) = 1/81
2007-09-21 15:05:17
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answer #6
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answered by JeffT 3
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ok so the answer is 81
2007-09-21 15:09:32
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answer #7
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answered by Anonymous
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YES! YES! THAT ANSWER is CORRECT BY GEORGE I BELIEVE YOU"VE GoT IT!
Whew!
2007-09-21 15:11:55
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answer #8
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answered by Barcadcadacada 6
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I can't think
2007-09-21 15:05:59
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answer #9
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answered by Anonymous
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wat are you asking????????
2007-09-21 15:04:32
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answer #10
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answered by Anonymous
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