Respuesta :
Answer:
D
Step-by-step explanation:
We have to find which equation is correct in give options
A.[tex]5\times 3(6\times 4)=30\times 7[/tex]
[tex]5\times 3(6\times 4)=5\times 6\times 3\times 4=30\times 12[/tex]
Hence, option A is wrong.
B.[tex]4c^4(3c^2)=12c^8[/tex]
[tex]4c^4(3c^2)=12c^{4+2)=12c^6[/tex]
When base same in multiplication then the power will be added.
Hence, option B is false.
C.[tex]3b^3(-2b^4)=-6b^{12}[/tex]
[tex]3b^3(-2b^4)=-6b^{3+4}=-6b^7[/tex]
Hence, option C is false.
D.[tex]5y^4(2y^5)=10y^9[/tex]
[tex]5y^4(2y^5)=10y^{4+5}=10y^9[/tex]
Hence, option D is correct.