Write a algebraic expression
1. the product of the third power of a and the fourth power of b

2. six less than three times the square of y

3. the sum of a and b increase by the quotient of b and a

4. four times the sum of r and a increased by twice the different r and s

5. triple the difference of 55 and cube of w

1. .

2. .

3. .

4. .

5. .

Step-by-step explanation:

1. The product of the third power of a and the fourth power of b = .

The 'third power of a' means 'a to the power 3' and 'fourth power of b' means 'b to the power 4'.

2. Six less than three times the square of Y means .

Here, 'three times the square of Y' means 'product of 3 and Y to the power 2', and 'six less than' means 'subtract 6 from the expression'.

3. The sum of a and b increase by the quotient of b and a means .

Here, 'quotient of b and a' means 'b divided by a'.

4. Four times the sum of r and a increased by twice the different r and s means .

Here, 'increased by' means 'addition' and 'different r and s' means 'r minus s'.

5. Triple the difference of 55 and cube of w means .

Here, triple means 3 times. (Answer)

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)