math (please double check my answers)
posted by noel .
Simplify the following using the laws of exponents:
Need help with these:
a) (9)^1/2 x 4^2/24
b) 16 x 2^x+2
Simplify each of the following:
b) b) 3 sqrt x^1/4 sqrt x/ 5 sqrt x^2
c) (ab)^2x+y /a^x b^y
Need these answers double checked:
c) 3^8/3^6 x 3^5
3^8/3^6+5
38^ 3^11
3^19
d) (4^2 x 2^4)^1
(4^2 x 2^4)
4^2 2^4

a) (9)^1/2 x 4^2/24
according to the way you typed it...
= 3 x 16/24
= 2
b) you probably meant
16 x 2^(x+2)
= 2^4 x 2^(x+2) = 2^(x+6)
3 sqrt x^1/4 sqrt x/ 5 sqrt x^2
 the order of operation is too ambiguous , use brackets to make it clear.
c) 3^8/3^6 x 3^5
= (3^8)/(3^6) * (3^5)
= 3^(8 + 6  5)
= 3^7
or
1/3^7
(4^2 x 2^4)^1
= 4^2 * 2^4
= 16(16) = 256
notice we use * or brackets for multiplication and
we use / for รท