Respuesta :

(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:

[tex](6x^\frac{13}{2})[/tex]

Step-by-step explanation:

[tex](2x^6)(3x^\frac{1}{2})[/tex]

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

[tex](x^6)(x^\frac{1}{2})=x^{6+\frac{1}{2}}[/tex]

Make the denominators same to add the fractions

[tex]\frac{12}{2} +\frac{1}{2} =\frac{13}{2}[/tex]

[tex](6x^\frac{13}{2})[/tex]