Question

Can you please solve this.

Answer 1

x^8

Explanation:

You want to simplify x^10/x^2.

Rule of exponents

The applicable rule of exponents is ...

(a^b)/(a^c) = a^(b-c)

Application

Using this rule on the given expression, we find ...

(x^10)/(x^2) = x^(10-2) = x^8

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Additional comment

An exponent can be considered to be an indicator of repeated multiplication. That is, it tells how many times the base is a factor in the product. Knowing this, you can use the usual rules of division to cancel common factors:

`(x^(10))/(x^2)=(x\cdot x\cdot x\cdot x\cdot x\cdot x\cdot x\cdot x\cdot x\cdot x)/(x\cdot x)=x\cdot x\cdot x\cdot x\cdot x\cdot x\cdot x\cdot x=x^8`