In words! How would you explain to your friend why the quotient of x^8 and x^2 is x^6 and not x^4?
Show your friend different values for x.
For instance: 10^8 = 100,000,000
10^2 = 100
100,000,000/100 = 1,000,000
10^6 = 1,000,000
How would you explain to your friend why the quotient of x^8 and X^2 is x^6 and not x^4?
To explain to your friend why the quotient of x^8 and x^2 is x^6 and not x^4, you can use the following steps:
1. Start by reminding your friend about the properties of exponents. Explain that when you divide two terms with the same base, you need to subtract the exponents.
2. In this case, the term x^8 is being divided by x^2. To find the quotient, subtract the exponent of x^2 from the exponent of x^8.
3. Subtracting 2 from 8 gives you 6. Therefore, the quotient of x^8 and x^2 is x^6.
4. Emphasize that the exponent refers to the number of times the base (in this case, x) is multiplied by itself. So when x^8 is divided by x^2, six of the x terms will remain.
By following these steps, your friend should understand why the quotient of x^8 and x^2 is x^6 and not x^4.