Simplify the expression by using the properties of rational exponents. Assume all variables represent positive real numbers. Express the final answer using positive exponents only.
8b^−1/3 divided by b^2/3
Is the answer 8b or is it 1/8b?
2007-10-25 17:32:37 · 4 answers · asked by DoWHATiDO 3 in Science & Mathematics ➔ Mathematics
It's 8/b. Remember, 1/b^x = b^(-x) and b^xb^y = b^(x+y). So we have:
8b^(-1/3)/b^(2/3)
8b^(-1/3)b^(-2/3)
8b^(-1)
8/b
2007-10-25 17:37:20 · answer #1 · answered by Pascal 7 · 0⤊ 0⤋
[21]
8b^ -1/3 divided by b^ 2/3
=(1/8b^1/3)multiplied by 1/b^2/3
=1/8b^(1/3+2/3)
=1/8b
2007-10-25 17:38:59 · answer #2 · answered by alpha 7 · 0⤊ 0⤋
8/b
2007-10-25 17:40:54 · answer #3 · answered by Andreas 2 · 0⤊ 0⤋
8b^-1/3 / b^2/3
8b^-1/3-2/3
8b^-1-2/3
8b^-3/3
8b^-1
8/b
2007-10-25 17:41:11 · answer #4 · answered by Shreya S 3 · 0⤊ 0⤋