Solve the equation: 1/2x-5+2/3x=7\6+4

Step-by-step explanation:

=1/2x - 5 + 2/3x = 7/6 + 4

(1/2 and 2/3 are like terms so we can add them. Next we have to find the lcm)

= lcm is 6 so now we make the denominators same and add them up

= 3+4/6x - 5 = 7/6 + 4

= 7/6x - 5 = 7/6 + 4

Now we do the same to the other side- find lcm and add them

= 7/6x - 5 = 14+48/ 12

= 7/6x -5 = 62/12

Now we bring 5 from the left to the right

= 7/6x = 62/12 + 5

Now we find the lcm again and add them

= 7/6x = 62+60/12

= 7/6x= 122/12

Now we bring the number in the lhs to rhs

= x= 122/12 divided by. 6/7

= x = 122/12 multiplied by 7/6

= x= 11.86

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: