Question

x¹⁰ ÷ (x² X x³ ÷ x) : Simplify.

Answer 1

Answer:

x^6

Step-by-step explanation:

Given X¹⁰ ÷ (x² X x³ ÷ x) : Simplify.

We know the law of exponents which states that

a^m x a^n = a^m + n

a^m / a^n = a^m - n

So the problem is x^10 / (x^2 x x^3 / x)

So we have x^10 / x ^5 / x

              x ^10 / x ^5 - 1

            x^10 / x^4

        x ^10 - 4

         x^6

After simplifying we get x^6

         

Answer 2

Answer:

The answer is x^6

Step-by-step Explanation:

In this question, x¹⁰ ÷ ((x² * x³) ÷ x), we need to find out the power of X

In such type of questions, if the base number is same, then their powers are added or subtracted on the basis of multiplication and division respectively.  

The problem is:

                           x^10 / (x^2 * x^3 / x)

So       x^10 / (x ^5 / x)

    =     x ^10 / (x ^5 - 1)

    =     x^10 / x^4

    =     x ^10 - 4  

    =>   x^6