dianajaramilloram
dianajaramilloram dianajaramilloram
  • 13-01-2024
  • Mathematics
contestada

Write √√√√vª as a single radical using the smallest possible root.

Write vª as a single radical using the smallest possible root class=

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Mickeym175
Mickeym175 Mickeym175
  • 13-01-2024

Answer:

[tex]\sqrt[20]{v^{21}}[/tex]

Step-by-step explanation:

[tex]\sqrt[4]{v} \sqrt[5]{v^4}[/tex]

Rearrange both os these radicals into v with a fraction exponent

[tex]v^{\frac{1}{4}}v^{\frac{4}{5} }[/tex]

Make them both have the same denominator

[tex]v^{\frac{5}{20}}v^{\frac{16}{20}}[/tex]

To multiply numbers with exponents with same base you just add the exponents

[tex]v^\frac{21}{20}[/tex]

Now revert it back into a radical

[tex]\sqrt[20]{v^{21}}[/tex]

I hope this helps

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