Find the value of x which is 2³x2⁶=2²x-1
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Answer:
16
Step-by-step explanation:
The question is to solve this expression:
The answer to the question is: (2⁶ * 2² * 2⁵) ÷ 8³ = 16
Step by Step Explanation:
In such type of questions, if the base number is same, then their powers are added or subtracted on the basis of multiplication and division respectively.
(2⁶ * 2² * 2⁵) ÷ 8³
= (2⁶⁺²⁺⁵) ÷ 8³
= 2¹³ ÷ 8³
Now we have to make the base numbers same in order to add or subtract their powers. So in this case, 8 can be written in the following manner:
8 = 2³
So remaining calculations are as follows:
= 2¹³ ÷ (2³)³
= 2¹³ ÷ 2³⁺³⁺³
= 2¹³ ÷ 2⁹
= 2¹³⁻⁹
= 2⁴
= 16
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