Question

(6x)power6 = 6power2 power 3
.

Answer 1

________Power________

It can be defined as how many times the number is in multiplication.

For example : 2 × 2 = 2²

______________________________

$\sf{(6x)^6 = [(6)^2]^3}$

${\boxed{\sf{[(a)^m]^n = {a}^{mn}}}}$

$\sf{\looparrowright (6x)^6 = {(6)}^{2×3}}$

$\sf{\looparrowright (6x)^6 = (6)^6}$

On comparing both sides, we get

$\sf{\looparrowright 6x = 6}$

$\sf{\looparrowright x = {\dfrac{6}{6}}}$

$\sf{\looparrowright x = 1}$

Hence, the value of x is 1.

Answer 2

Your question is incomplete

The actual question should be =>

QUESTION

$(6x)^6$ = ${(6^2)^3}$

Then find the value of x.

ANSWER

We know that =>

$(6x)^6$ = ${(6^2)^3}$

=>$(6x)^6$ = $6^{6}$

     

                      (By using the law of Indices )

So now on comparing we get get=>

                      x = 1

Remember

Laws of Indices

1)$a^n$ × $a^m$=$a^{m+n}$

2)$a^m$ ÷$a^n$ = $a^{m-n}$

3)${a^m }^n$= $a^mn$

4)$a^0$ = 1

5)$(\dfrac{a}{b})^n$=$\dfrac{{a}^n}{{b}^n}$

6)$a^{-1}$ = $\dfrac{1}{a}$

7)$a^{x/y}$=${y\sqrt{a}}^x$