Respuesta :

Answer:

Your friend made a mistake when multiplying the coefficients of each term and when adding the exponents of each term.

Correct answer: [tex]\left(12a\right)^{7/10}[/tex]

Step-by-step explanation:

We can use the exponent property [tex]a^b\cdot a^c=a^{(b+c)}[/tex] to solve this problem.

Substituting given values, we get:

[tex]4a^{(\frac{1}{2})}\cdot 3a^{(\frac{1}{5})}=12a^{(\frac{1}{2}+\frac{1}{5})}=12a^{(\frac{5}{10}+\frac{2}{10})}=\boxed{12a^{(\frac{7}{10})}}[/tex]

Answer:

Your friend made the mistake of adding the coefficents and multiplying the exponents (instead of mulitplying the coefficents and adding the exponents)

The correct answer is: [tex]12a^{\frac{7}{10}}[/tex]

Step-by-step explanation:

When mulitiplying exponentials with the same base you mulitply their coefficents and add their exponents.

Your friend made the mistake of adding the coefficents and multiplying the exponents

RELAXING NOICE
Relax