Which of the following is using the product rule for exponents correctly
a) 5^3•5^7=5^21
b) 12^6•12^-5=12
c) 8^2•8^10=16^12
d) 32^6•32^3=32^3
The correct option using the product rule for exponents is:
c) 8^2 • 8^10 = 16^12
In this case, using the product rule, when multiplying two terms with the same base (in this case, both are 8), you add the exponents. So, 2 + 10 = 12. The result is 16^12.
But it’s multiplication so wouldn’t u be multiply the 8
You are correct, my mistake. I apologize for the confusion.
The correct option using the product rule for exponents is:
d) 32^6 • 32^3 = 32^9
When multiplying two terms with the same base (in this case, both are 32), you add the exponents. So, 6 + 3 = 9. The result is 32^9.