What expression raised to the fourth power is 81 x^12 y^8 z^16 ?
2007-02-23 10:17:11 · 5 answers · asked by djlurch52@sbcglobal.net 1 in Science & Mathematics ➔ Mathematics
I think it is (3x^3 y^2 z^4)^4
because
(3x^3)^4=81x^12
and
(y^2)^4=y^8
and
(z^4)^4=z^16
2007-02-23 10:28:39 · answer #1 · answered by hpage 3 · 0⤊ 0⤋
81 x^12 y^8 z^16=(3x^3y^2z^4)^4
81=3^4 divide all exponents by 4.
2007-02-23 18:47:32 · answer #2 · answered by yupchagee 7 · 0⤊ 0⤋
3x^3y^2z^4
3^4=81
x^3 to the 4th power =12 for you multiply exponents
y^2 = 8
z^4 = 16 thus
81x^12y^8z^16
2007-02-23 18:48:00 · answer #3 · answered by Dave aka Spider Monkey 7 · 0⤊ 0⤋
(81)^(1/4)x^3y^2z^4
2007-02-23 18:21:14 · answer #4 · answered by Ting 4 · 0⤊ 0⤋
3x^3y^2z^4
2007-02-23 18:24:10 · answer #5 · answered by Matisse 2 · 0⤊ 0⤋