Question

(6-¹×2-¹) ÷ 3-¹ equal

Answer 1

(1/6 x 1/2)/1/3
=1/12 /  1/3
=1/12 x 3/1
=1/4

Answer 2

Given,

$(6 ^{ - 2} \times 2 ^{ - 1} ) \div 3 ^{ - 1}$

To find,

The value after simplifying the given expression.

Solution,

The value of $(6 ^{ - 2} \times 2 ^{ - 1} ) \div 3 ^{ - 1}$ will be 1/24 or $(2 ^{ - 3} \times 3 ^{ - 1} )$.

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

According to the question,

$(6 ^{ - 2} \times 2 ^{ - 1} ) \div 3 ^{ - 1}$

We have the following expression:

Now, if we reverse the given numbers then their powers will be in positive.

[1/(6²×2)] ÷ 1/3

1/(36×2) ÷ 1/3

1/72 ÷ 1/3

Now, changing the sign of ÷ into multiplication:

1/72 × 3/1

3/72

1/24

or

$(2 ^{ - 3} \times 3 ^{ - 1} )$

Hence, the value of after is simplifying is 1/24 or $(2 ^{ - 3} \times 3 ^{ - 1} )$.