How do I do this?
Simplify the expression by using the properties of rational exponents. Assume all variables represent positive real numbers:
(n^1/2)^10
2007-10-25 17:19:43 · 3 answers · asked by DoWHATiDO 3 in Science & Mathematics ➔ Mathematics
(n^(1/2))^10
= n^((1/2)*10)
= n^(10/2)
= n^5.
2007-10-25 17:31:12 · answer #1 · answered by Scarlet Manuka 7 · 0⤊ 0⤋
(n^1/2)^10 = n^5
why
(3^2)^3 = 729
3^6 = 729
just multiply the exponents
2007-10-25 17:26:05 · answer #2 · answered by big_g06354 2 · 0⤊ 0⤋
consider: (a^n)^m = a^(m*n)
example: (a^2)^3 = a^2 * a^2 * a^2
= aa * aa* aa
= a^6
= a^(2*3), right?
We only need to MULTIPLY the exponents when we raise power to a power, right?
(n^1/2)^10 = n^(.5 * 10)
= n^5
Done.
2007-10-25 17:25:02 · answer #3 · answered by pbb1001 5 · 1⤊ 0⤋