Instructions

What will come in place of the question mark (?) in the given question?

Question 31

$$( 8 * 16 \div 256 * 512 ) \times \frac{1}{2^?} = 1$$

Solution

Expression : $$( 8 * 16 \div 256 * 512 ) \times \frac{1}{2^?} = 1$$

=> $$(\frac{128}{256} \times 512) \times \frac{1}{2^x} = 1$$

=> $$(128 \times 2) \times \frac{1}{2^x} = 1$$

=> $$\frac{256}{2^x} = 2^0$$

=> $$2^{8 - x} = 2^0$$

=> $$8 - x = 0$$

=> $$x = 8$$


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