what expression raised to the fourth power is 81?

x with exponent 12

y with exponent 8

z with exponent 12:)

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- Jun 29th 2007, 02:47 PMlizard4need help in solving exponents
what expression raised to the fourth power is 81?

x with exponent 12

y with exponent 8

z with exponent 12:) - Jun 29th 2007, 02:56 PMPlato
- Jun 29th 2007, 03:07 PMIlaggoodly
the 4th root of 81 is 3, so the equation must equal 3 or -3, the r est of your question is nonsensical as plato pointed out

- Jun 29th 2007, 03:08 PMlizard4Dear Pluto
What expression raised to the fourth power is 81x12y8x16

12,8, and 16 are exponents[FONT='Calibri','sans-serif']

[/FONT] - Jun 29th 2007, 03:13 PMJhevon
that is nothing like the original equation, even some of the powers are different and there is no z, make sure you're not making a typo.

do you mean $\displaystyle 81x^{12} y^8 z^{16}$?

if so, the answer is $\displaystyle 3 x^3 y^2 z^4$

when we raise products to a power, we multiply the powers by the power we are raising to, that is, $\displaystyle (xy)^n = x^n y^n$. with that knowledge in mind, we simply take out a factor of four from the powers of all the expressions, since if we raise this new expression to the power four, we would multiply all the powers by 4 and get back the expression we started with