Question

please write the value of x the formula is given below in pic ​

Answer 1

Answer:

(4x)³= (4³)³

(4x)³= (64)³

Since the powers outside the bracket are same, we will concentrate on the number inside the bracket. Because the powers outside the bracket are same, and both the values are equal, this means that the number inside the brackets will also be same.

⇒ 4x= 64

x= 64/4

x= 16

Hope it helps

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Answer 2

QUESTION :–

$\\ \implies \bf {(4x)}^{3} = { {4}^{3} }^{3} , Find\:\: 'x'.$

ANSWER :–

$\\ \bf \longrightarrow \large{ \bf x=16}$

EXPLANATION :–

GIVEN :–

$\\ \implies \bf {(4x)}^{3} = { {4}^{3} }^{3}$

TO FIND :–

• Value of 'x' = ?

SOLUTION :–

$\\ \implies \bf {(4x)}^{3} = { {4}^{3} }^{3}$

• We should write this as –

$\\ \implies \bf {(4x)}^{3} = {( {4}^{3}) }^{3}$

• We know that –

$\\ \large \to \: \: \bf {a}^{b} = {c}^{b} \: \: then \:\: \: { \boxed{ \bf a = c}}$

• So that –

$\\ \implies \bf 4x= {4}^{3}$

$\\ \implies \bf 4x= 64$

$\\ \implies \bf x= \cancel \dfrac{64}{4}$

$\\ \bf \implies \large{ \boxed{ \bf x=16}}$

• Hence , The value of 'x' is 16 .