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  • 17-06-2020
  • Mathematics
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what is the simplified form of 5 square root x^4 • 5 square root x^4

what is the simplified form of 5 square root x4 5 square root x4 class=

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  • 17-06-2020

Answer: C

Step-by-step explanation:

You can write each term into a fraction.

[tex]\sqrt[5]{x^4}[/tex] becomes [tex]x^4^/^5[/tex]

When you multiply 2 terms with the same base, you add the exponents.

[tex]x^4^/^5*x^4^/^5=x^4^/^5^+^4^/^5=x^8^/^5[/tex]

[tex]x^8^/^5[/tex] is also the same as [tex]x\sqrt[5]{x^3}[/tex]

You get this because [tex]\sqrt[5]{x^8} =\sqrt[5]{x*x*x*x*x*x*x*x}[/tex]. When you pull out 5 os x, you are left with x³ on the inside.

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