Question

Which equation is true? I. (32 ÷ 8 – 2)6 = (32 – 1)2 II. 72 ÷ 9·4 = 62 ÷ (6 + 3) II only Neither I nor II I only I and II

Answer 1

Neither I nor II

Explanation:

We will simplify both the sides of the given equations,

Equation I.
`((32)/(8)-2)^(6)=(32-1)^(2)`

i.e.
`(4}-2)^(6)=(31)^(2)`

i.e.
`2^(6)=(31)^(2)`

i.e. 64=961, which is not true.

Equation II.
`(72)/(9* 4)=(62)/(6+3)`

i.e.
`(72)/(36)=(62)/(9)`

i.e. 2 = 6.9, which is not true.

Hence, neither of the equations are true.

Answer 2

Answer: The answer is (b) Neither I nor II.

Step-by-step explanation: We are given two equations and we need to find which is true. Since it is a simple algebraic question, so we just need to follow BODMAS rule to check the equations.

The equations are as follows -

`(I)~~L.H.S=((32)/(8)-2)6=(4-2)6=2* 6=12.`

`R.H.S=(32-1)2=31* 2=62.`

Since L.H.S ≠ R.H.S, so this equation is not correct.

`(II)~~L.H.S=(72)/(9* 4)=2.`

`R.H.S=(62)/(6+3)=(62)/(9).`

Since L.H.S ≠ R.H.S, so this equation is also not correct.

Thus, the correct option is (b) Neither I nor II.