Evaluate each exponential expression in Exercises 1–22. 3^8/3^4

Question

Accepted Answer

Hey everyone here we are given the exponential expression of seven to the power of nine divided by seven to the power of seven of which were asked to evaluate. Now from here we want to start out by rewriting this one divided by seven to the power of seven as seven to the power of negative seven. And this is done using the law of exponents for a negative exponents. From here we can incorporate this fact and rewrite the given expression as seven to the power of nine times seven to the power of negative seven. And since both exponents have the same base, we can use the product rule for exponents which allows us to simplify this even further as seven to the power of nine plus negative seven. This then simplifies to seven to the power of two which is equivalent to 49, which is our answer here for choice. C Thanks for watching. I hope you found this video helpful and I'll see you next time.

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