Question

find the value of x, if (6x)to the power 6 = (6)to the power8​

Answer 1

ANSWER✔

IDENTITY IN USE,

$\large{\boxed{\bf{ \star\:\: \dfrac{a^m}{a^n}= a^{m-n}\:\: \star}}}$

$\large\underline\bold{SOLUTION,}$

$\sf\implies (6x)^6=6^8$

$\sf\implies 6^6 \times x^6= 6^8$

$\sf\implies x^6= \dfrac{6^8}{6^6}$

$\sf\implies x^6= 6^{8-6}$

$\sf\implies x^6= 6^2$

$\sf\implies x^6= 36$

$\sf\implies x= \sqrt[6]{36}$

$\large{\boxed{\bf{ \star\:\:x= \sqrt[6]{36} \:\: \star}}}$

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Answer 2

Answer:

$x = 6 \sqrt{36}$

this is the answer

Step-by-step explanation:

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