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Please help me!
Hint: the number is negative

Please help me! Hint: the number is negative-example-1
User StelioK
by
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1 Answer

5 votes

Answer:


-36 goes into the box

Explanation:

Let the number be
x, then



(m^x)^{(1)/(3)}=m^(-12)


We now use the following property of exponents to simplify the left hand side of the equation.


(a^m)^n=a^(mn)

This implies that;


m^{x* (1)/(3)}=m^(-12)



\Rightarrow m^{(x)/(3)}=m^(-12)


Since the bases are the same, we equate the exponents to get;



{(x)/(3)=-12


We now multiply both sides by 3 to get;



(x)/(3)* 3=-12* 3



\Rightarrow x =-36


Therefore the number that goes into the box is
-36



User Satyawan Hajare
by
8.1k points

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