How would you explain to your friend why the quotient of x^8 and x^2 is x^6 and not x^4?
x^8 ÷ x^2
= xxxxxxxx/(xx)
= xxxxxx
= x^6
how would you explain this in word term, if your friend is questioning the rule
To explain why the quotient of x^8 and x^2 is x^6 and not x^4, you can break it down step by step.
Step 1: Start with the expression x^8 ÷ x^2.
Step 2: Recall that when you divide two numbers with the same base, you subtract the exponents.
Step 3: In this case, the base is x, so subtract the exponents: 8 - 2 = 6.
Step 4: The result of subtracting the exponents is the exponent of the quotient.
Step 5: Therefore, x^8 ÷ x^2 simplifies to x^6.
Step 6: This means that when you divide x raised to the power of 8 by x raised to the power of 2, the result is x^6, not x^4.
By understanding the concept of subtracting exponents when dividing same bases, you can easily conclude that the quotient of x^8 and x^2 is x^6, not x^4.