Question

simplify (6²)³×6⁴)÷6⁸​

Answer 1

Answer:

The answer is 36

Step-by-step explanation:

(6^2)^3×6^4) ÷6^8

(6^2×3 × 6^4 ) ÷6^8

(6^6 ×6^4 ) ÷ 6^8

(6^6+4)÷6^8

6^10÷6^8

6^10-8 = 6^2 = 36

Answer 2

Answer:

=> 36

Step-by-step explanation:

As per the given data in the question, we have to simplify the given expression.

Given that:-

$[(6^2)^3\times 6^4] \div( 6)^8$

For that, we have to use the laws of exponent,

So we have to use the laws:

$(x^m)^n = x^{mn}$

$x^m.x^n=x^{m+n}$

$\frac{x^m}{x^n}=x^{m-n}$

By using the first law,

$=>(6^2)^3=6^{2\times 3}=6^6$

The expression is written as,

$=>(6^6\times 6^4)\div 6^8$

Now, by using second law,

$=>(6^{6+4})=6^{10}$

The expression is written as,

$=>6^{10}\div 6^8$

By using the third law,

$=>6^{10}\div 6^8=6^{10-8}=6^2$

So, we get

=> $6^2$

=> 36

Hence, by simplifying $[(6^2)^3\times 6^4] \div( 6)^8$ we get 36.