Question

simplify : (-2)^3 X (-2)^7 / 3 X 4^6

Answer 1

Answer:

0.083

Step-by-step explanation:

(-2)^3 × (-2)^7 /3×4^6

=> -8 × (-128)/ 3×4096

=> 1024/12288

=> 0.083 (Answer )

Answer 2

Given,

(-2)³ × (-2)^7 ÷ 3 × 4^6

To find,

The value after solving the given expression.

Solution,

The value of (-2)³ × (-2)^7 ÷ 3 × 4^6 will be 1/12.

We can easily solve this problem by following the given steps.

We know that the powers in the multiplication get added if their base is the same.

(-2)³ × (-2)^7 ÷ 3 × 4^6

Adding the powers of (-2)³ and (-2)^7,

(-2)^10 ÷ 3 × 4^6

We know that when two negative integers are multiplied then the result is positive. In this case, we have the power in even numbers. So, the sign will be positive.

2^10 ÷ 3 × 4^6

The number 4 can be written as 2². So, 4^6 can be written as 2^12 because the powers 2 and 6 will get multiplied.

2^10 ÷ 3 × 2^12

Dividing both the numerator and denominator by 2^10,

1/3× 2²

1/3×4

1/12

Hence, the value of (-2)³ × (-2)^7 ÷ 3 × 4^6 is 1/12.