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

Step-by-step 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 ...

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