Simplify 2(to the power -1) × 27(to the power 2/3), giving the answer as interger or fraction.
2006-11-02 10:02:27 · 6 answers · asked by Anonymous in Education & Reference ➔ Homework Help
2 to the power of -1 = 1/2
27 to the power of 2/3 = (3rt of 27) to the power of 2 = 3 to the power of 2 = 9
2006-11-02 23:38:44 · answer #1 · answered by Anonymous · 0⤊ 0⤋
1/2 x 3 = 11/2
2006-11-02 10:37:13 · answer #2 · answered by nickname 1 · 0⤊ 0⤋
9/2
2^(-1) = 1/2
27^(2/3) = 27(^1/3) * 27^(1/3) = 3*3 (taking a number to the 1/3 power is the same as finding its cube root)
So, 2^(-1)*27^(2/3) = 1/2 * 3 * 3 = 9/2
~ ⥠~
2006-11-02 10:04:19 · answer #3 · answered by I ♥ AUG 6 · 1⤊ 0⤋
2 to the power -1 is the reciprocal of 2, which is a half.
27 to the power 2/3rds is the cube root of the square of 27.
27 squared is 729. Since 9 times 9 times 9 is 729, then 9 is the cube root of 729.
So, your answer half times nine which is
9/2
2006-11-02 10:09:58 · answer #4 · answered by Anonymous · 0⤊ 0⤋
4.5? Can't remember is 2 to -1 =1/2? I think 27 to 2/3 is cube root of 27 squared which is 9.
Somebody out there'll have it.
Yeah - AUG!
2006-11-02 10:07:41 · answer #5 · answered by migdalski 7 · 0⤊ 0⤋
You lost me at the word 'power' ...sorry
2006-11-02 10:05:20 · answer #6 · answered by Simon K 3 · 0⤊ 1⤋