Respuesta :

Answer:

Step-by-step explanation:

[tex]a^{m}*a^{n}=a^{m+n}\\\\[/tex]

[tex]a) 3x^{2}y^{4}*2x^{6}y=3*2*x^{2+6}*y^{4+1}\\\\=6x^{8}y^{5}[/tex]

[tex]b) xz^{3} * 4x^{4}z^{5}=4*x^{1+4}*z^{3+5}\\\\= 4x^{5}z^{8}[/tex]

c)

[tex]4a^{3}b^{2}* 3a^{6}b^{5}=4*3*a^{3+6}*b^{2+5}\\\\=12a^{9}b^{7}[/tex]

[tex]d) 6s^{5}t*s^{4}t^{2}=6*s^{5+4}*t^{1+2}\\\\=6s^{9}t^{3}\\[/tex]

Answer:

A: 6x^8y^5

B: 4x^4z^8

C:12a^9b^7

D:6s^9t^3

Step-by-step explanation:

When you multpily exponents with the same base you just add them

You still multiply the real numbers like you normally would though

so we have

3x²y^4*2x^6y

To do this you multiply 3*2=6

add the exponents on x^2 and x^6=x^8

and add the exponents on y (which is equal to y^1) and y^4=y^5

put these together and get 6x^8y^5

B: I won't explain it twice because it's the same process

I get 4x^5z^8

C: 12a^9b^7

D: 6s^9t^3