Question

Find the product. 1.5m6(-2m2)4

Answer 1

9514 1404 393

Answer:

  24m^14

Step-by-step explanation:

It looks like you want to simplify ...

  $1.5m^6(-2m^2)^4=(1.5)(-2)^4(m^6)(m^{2\cdot4})\\\\=(1.5)(16)m^{6+8}=\boxed{24m^{14}}$

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The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)^c = a^(bc)

  (ab)^c = (a^c)(b^c)