Question

What is the simplified form of the expression? (2x^6)(3x^(1/2)

Answer 1

(2x^6)(3x^(1/2))=(2*3)(x^(6+(1/2)))=6(x^(6*(2/2)+(1/2)))=6(x^((12/2)+(1/2)))=6x^(13/2)
so the answer is 6x^(13/2)

Answer 2

`(6x^(13)/(2))`

Explanation:

`(2x^6)(3x^(1)/(2))`

Use property of exponents

a^m * a^n = a^mn

When the exponents with same base are in multiplication then we add the exponents

2 times 3= 6

now we multiply x^6 and x^1/2

`(x^6)(x^(1)/(2))=x^{6+(1)/(2)}`

Make the denominators same to add the fractions

`(12)/(2) +(1)/(2) =(13)/(2)`

`(6x^(13)/(2))`