Question

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

Answer 1

9514 1404 393

Answer:

24m^14

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)