Question

Solve 3^-4 and (½)^-2

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Answer 1

Answer:

3 - 4 = - 1

(1/2) - 2 = - 1/2

1st sum

in 3 - 4:

we can write it as + 3 - 4

there are different signs for the numbers (+ and -)

so we should do subtraction

subtract the greater number - smaller number

greater number is 4 and smaller number is 3

4 - 3 = 1

but for allotting the sign for the answer we should find the greater number in the 2 numbers (3 and 4)

the greater number is 4

the sign to the left of it is - (minus)

so the answer will be - 1

2nd sum

in (1/2) - 2

we can write it as +(1/2) - 2

there are different signs (+ and -)

so we should do subtraction

greater number is 2

smaller number is 1/2

so 2 - (1/2)

= (2/1) - (1/2)          [ taking LCM of denominators 1 and 2 we get LCM = 2 ]

= (4/2) - (1/2) = 3/2      

but for allotting the sign for the answer we should find the greater number in the 2 numbers (1/2 and 2)

the greater number is 2

the sign to the left of it is - (minus)

so the answer will be - 3/2

Explanation:

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