Question

Which equations are correct?

Select each correct answer.





`4c^4(3c^2)=12c^8`


`3b^3(−2b^4)=−6b^12`


`5y^4(2y^5)=10y^9`


`5x^3(6x^4)=30x^7`

Answer 1

9514 1404 393

Answer:

C, D

Explanation:

The applicable rules of exponents are ...

(a^b)(a^c) = a^(b+c)

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The correct equations are the last two.

For the first two, the appropriate products are ...

`4c^4(3c^2)=4\cdot3c^(4+2)=12c^6\\\\3b^3(a^2b^4)=3a^2b^(3+4)=3a^2b^7`