Question
upstudy study bank question image url

Ask by Mccarthy Harrington. in South Africa
Mar 26,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

Solution

1)
  • Use the property of exponents: .
  • Thus, .

2)
  • Using the same property: .
  • So, .

3)
  • First, note that can be written as .
  • Now, combine the exponents: .

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The Deep Dive

When you multiply powers with the same base, you can simply add the exponents together! So, for , you simply calculate . Thus, the result is .
Now let’s look at the variable expressions! For , adding the exponents gives us , so you have . Similarly, for , you can think of as . Adding those exponents means the final result is . Easy peasy!

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