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11111nata11111 [884]
3 years ago
11

Can someone please help me, thanks!!

Mathematics
1 answer:
sergejj [24]3 years ago
5 0
Solving "three times a number increased by 4 equals -62" first might make the original problem just a little easier to handle.

three times a number increased by 4 equals -62  =>  3n + 4 = -62

Then 3n = -66, and n = -22.

Plot n=-22 on a number line.  Now choose a number n smaller than -22 and subst. it into the original inequality.  Is the result true or false?  If true, then your answer is "n<-22."  If false, then your answer is "n>-22."
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Step-by-step explanation:

The applicable rules of exponents are ...

  (ab)^c = (a^c)(b^c)

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Using these, your expression simplifies to ...

  (3m^{-4})^3(3m^5)=(3^3)(3)(m^{-4\cdot3+5})=81m^{-7}=\boxed{\dfrac{81}{m^7}}

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