Question

Find x if (-2/3)-13 x (3/-2)8 = (-2/3)-2x+1

Answer 1

Answer:

X=11

Step-by-step explanation:

Given equation is (-2/3)-13 x (3/-2)8 = (-2/3)-2x+1

To find out: The value of x.

We know that, (a/b)m=(a/b)−m

Hence, (3/−2)8=(-2/3)−8

So, the given equation becomes,

(-2/3)-13 x (3/-2)8 = (-2/3)-2x+1

We also know that, a m×an=am+n

Hence, the equation becomes,

(-2/3)-13-8=(-2/3)-2x+1

(-2/3)-21=(-2/3)2x+1

Since, the base on both sides is equal, the exponents must also be equal.

So, −21=−2x+1

⇒2x=1+21

⇒2x=22

x= 22/2

x=11

Hence, the solution of the given equation is x=11.

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Answer 2

Answer:

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