tootsi123
  • tootsi123
(5x^4)^5 how would i work this problem??
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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mathstudent55
  • mathstudent55
To raise a product to an exponent, raise every factor of the product to the exponent.
tootsi123
  • tootsi123
What is that supposed to mean?
mathstudent55
  • mathstudent55
|dw:1440124430008:dw|

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mathstudent55
  • mathstudent55
You have a product. A product is a multiplication. Your multiplication is 5 * x^4. That multiplication, also called a product, is the multiplication of 2 factors. The factors are 5 and x^4. Now you need to raise that product to the exponent 5. When you raise the product 5x^4 to an exponent, you must raise each factor to the exponent. That means you must raise x to exponent 5, and also raise x^4 to exponent 5.
mathstudent55
  • mathstudent55
here you see how each factor has to be raised tot he 5th power. |dw:1440124692403:dw|
mathstudent55
  • mathstudent55
Now we need to simplify the exponents and get rid of parentheses.
mathstudent55
  • mathstudent55
When you raise an exponent to an exponent, you multiply the exponents.
mathstudent55
  • mathstudent55
|dw:1440124819577:dw|
mathstudent55
  • mathstudent55
Now all that is left to do is multiply the exponents of x.
tootsi123
  • tootsi123
So then 3125^20
mathstudent55
  • mathstudent55
|dw:1440125018983:dw|
mathstudent55
  • mathstudent55
Yes, I think I know what you meant to write, but don't forget the x.
tootsi123
  • tootsi123
Yes, that is what i meant... Thank you:)

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