SOLUTION: Why is the quotient of x^8 and x^2 = x^6 and not x^4

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Question 540757: Why is the quotient of x^8 and x^2 = x^6 and not x^4
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
When you divide exponential expressions, the process is:
+x%5Ea+%2F+x%5Eb+=+x%5E%28a-b%29+
.
Consider
+2%5E3+%2F+2%5E2+=+8%2F4+=+2+
.
+2%5E3+%2F+2%5E2+=+2%5E%283-2%29+=+2%5E1+=+2+
.
Similarly, when you multiply exponential expression, the process is:
+x%5Ea+%2A+x%5Eb+=+x%5E%28a%2Bb%29+
.
Consider
+2%5E3+%2A+2%5E2+=+8+%2A+4+=+32+
.
+2%5E3+%2A+2%5E2+=+2%5E5+=+32+