what is the answer to this question? I just want to double check my answer that I wrote on a test?
(3a)^1/2 x (3a)^-1/2
4 answers
What was your answer?
when you multiply, you add exponents.
For example, 2^3 x 2^4 = 2^(3+4) = 2^7
Recall that negative exponents are the reciprocals of positive exponents.
2^-3 = 1/2^3 = 1/8
SO, you have
(3a)^1/2 * (3a)^-1/2
= (3a)^1/2 / (3a)^1/2 = 1
or, by adding exponents,
(3a)^1/2 * (3a)^-1/2 = (3a)^0 = 1
anything to the zeroth power is 1.
2^3/2^3 = 8/8 = 1
so, 2^(3-3) = 2^0 = 1
For example, 2^3 x 2^4 = 2^(3+4) = 2^7
Recall that negative exponents are the reciprocals of positive exponents.
2^-3 = 1/2^3 = 1/8
SO, you have
(3a)^1/2 * (3a)^-1/2
= (3a)^1/2 / (3a)^1/2 = 1
or, by adding exponents,
(3a)^1/2 * (3a)^-1/2 = (3a)^0 = 1
anything to the zeroth power is 1.
2^3/2^3 = 8/8 = 1
so, 2^(3-3) = 2^0 = 1
9a^-1/4
(3a)^2 = 9a^2
((3a)^1/2)^-1/2 = (3a)^-1/4
There's just no valid way to come up with what you got.
((3a)^1/2)^-1/2 = (3a)^-1/4
There's just no valid way to come up with what you got.
1 answer