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

Answer:

Neither I nor II

Step-by-step explanation:

We will simplify both the sides of the given equations,

Equation I. $(\frac{32}{8}-2)^{6}=(32-1)^{2}$

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

i.e. $2^{6}=(31)^{2}$

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

Equation II. $\frac{72}{9\times 4}=\frac{62}{6+3}$

i.e. $\frac{72}{36}=\frac{62}{9}$

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 -  

$(I)~~L.H.S=(\dfrac{32}{8}-2)6=(4-2)6=2\times 6=12.$

$R.H.S=(32-1)2=31\times 2=62.$

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

$(II)~~L.H.S=\dfrac{72}{9\times 4}=2.$

$R.H.S=\dfrac{62}{6+3}=\dfrac{62}{9}.$

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

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