00:01
Hi, here in 30th question given that minus 2 a cube b power minus 6 divided by c power 4 the whole square into 5 a power minus 1 b cube divided by c squared the whole power minus 2 we know that the exponent rule a power minus 1 can be written as 1 by a and a power x into a power y equals a power x plus y and similarly a x into a power minus y equals a power x minus y by using this results we have to solve this so it can be rewrite as 4 a power 6 b power minus 12 divided by c power 8 here we need to consider this as minus 1 so we have to write in reciprocal so c squared divided by 5 a power minus 1 b cube the whole squared which is equal to 4 a power 6 b power minus 12 divided by c power 8 into on taking square we get c power 4 divided by 25 a power minus 2 b power 6.
01:18
On arranging the corresponding numbers then we get 4 divided by 25 into c power 4 minus 8 into a power here 6 so minus 2 it becomes plus 2.
01:35
Here b, b power minus 12, here plus 6 so it becomes minus 6 which is equal to 4 by 25 into c power minus 4, a power 8 into b power minus 18.
01:55
On rearranging this we get 4a power 8 divided by 25 b power 18 c power 4.
02:05
Therefore, option a is the correct answer to the given question.
02:12
For 14th question given that 1 by 3 the whole power x minus 6 equals 27 the whole power x.
02:17
We know that the exponent rule a power x equals a power y, then x equals y.
02:22
So here we can return as 1 by 3 the whole power x minus 6.
02:25
27 can be written as 3 cube, the whole power x.
02:29
Again 1 by 3 can be written as 3 power minus 1.
02:32
So 3 power minus into x minus 6 which is equal to 3.
02:35
Into 3 power x.
02:37
On applying this rule, we get minus of x minus 6 equals 3x, which implies minus x plus 6 equals 3x...