Question

$\frac { ( - 2 ) ^ { 3 } \times ( 2 ) ^ { 7 } } { 3 \times 4 ^ { 6 } }$

Solve it correctly.​

Answer 1

To solve : $\frac{(-2 )^{3} \times 2^{7} }{3\times 4^{6} }$

Solution :

• To solve the above equation we will follow BODMAS rule.

• It is the rule used to remember the order of operations to be followed while solving expressions in mathematics.

• where,

      $\begin{array}{l} \\B=brackets \\\mathrm{O}=\text { order of powers or rules } \\\mathrm{D}=\text { Division } \\\mathrm{M}=\text { multiplication } \\\mathrm{A}=\text { addition } \\\mathrm{S}=\text { subtraction }\end{array}$

• According to above rule we solve .
• $\frac{(-2 )^{3} \times 2^{7} }{3\times 4^{6} }$  

       $= \frac{(-2)(-2)(-2) \times (2)(2)(2)(2)(2)(2)(2)}{3\times (4)(4)(4)(4)(4)(4)} \\= \frac{-8 \times 1}{3\times 2\times 4\times 4} \\= \frac{-1}{3\times 4}\\= \frac{-1}{12}$

Hence , on solving the above expression we get answer as $\frac{-1}{12}$ .