Question

If 36 x power 4= x power 6 then what is the value of x power 3 solution

Answer 1

Answer:

$\tt{36x^{4} = x^{6}}$

First, we'll make the power of both L.H.S. and R.H.S. as 2:

=》 $\tt{(6x^{2})^{2} = (x^{3})^{2}}$

Cancel the squares:

=》 $\tt{6x^{2} = x^{3}}$

Take $\tt{x^{2}}$to R.H.S. and them solve:

=》 $\tt{6 = \frac{x^{3}}{x^{2}}}$

=》 x = 6

$\huge{\tt{x^{3} = 6^{3} = 216}}$

Answer 2

Correct Question :

If 36x⁴ = x^6, then what is the value of x³ ?

Answer : 216

Step by step explanation :

As, 36x⁴ = x^6

We can write it as :

(6x²)² = (x³)²

Comparing both the sides, we get:

6x² = x³

.°. $\tt{ \frac{x {}^{3} }{x {}^{2} } = 6}$

Therefore,

$\tt{x = 6}$

So,

x³ = 6³ = 216

Value of your question is 216.