Question

8^12÷16^2 of 32^3×√256=2^?

Answer 1

Answer :- 17

8¹² ÷ 16² of 32³ × √256 = 2^x ?

=> (2³)¹² ÷ (2⁴)² of (2⁵)³ × 16 = 2^x [ √256 = 16 ]

=> 2³⁶ ÷ 2⁸ of 2¹⁵ × 2⁴ = 2^x

=> 2³⁶ ÷ 2²³ × 2⁴ = 2^x [ VBODMAS RULE ]

${x}^{m} \times {x}^{n} = {x}^{m + n}$

=> 2¹³ × 2⁴ = 2^x

${x}^{m} \div {x}^{n} = {x}^{m - n}$

=> 2¹⁷ = 2^x

=> x = 17