Question

6. IF 2p3 = 16 then the value of
p

a. 6
b. 2
c. 5
d. 4​

Answer 1

2p³ = 16

${p}^{3} \: = \: \frac{16}{2}$

p³ = 8

p = 3√8

p = 2

Answer 2

Answer:

We can find the answer in two methods. Transposing and non transposing method.

Transposing Method:

2p³ = 16

⇒ p³ = $\frac{16}{2}$

⇒ p³ = 8

⇒ p = $\sqrt[3]{8}$

⇒ p = 2

Non Transposing method:

2p³ = 16

⇒ $\frac{2p^3}{2}$ = $\frac{16}{2}$

⇒ p³ = 8

⇒ $\sqrt[3]{p^3}$ = $\sqrt[3]{8}$

⇒ p = 2

VERIFICATION:

Now let's verify whether our answer is correct or not by substituting the p with 2 which we have just found out from the above conclusion.

2p³ = 16

⇒ 2(2)³ = 16

⇒ 2(8) = 16

⇒ 16 = 16

Over here, The L.H.S is equal to R.H.S which means our answer is correct!!

Hence, we have proved and verified that p is 2.

∴ p = 2

∴ The correct option is b which is 2.

Thnx and have a nice day!

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