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PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

What is the expression in radical form?

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!! What is the expression in radical-example-1
User Qazwsx
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1 Answer

2 votes

So here are a few things about exponents that you need to know:

  • Powering a power:
    (x^m)^n=x^(m*n)
  • Fractional exponent to radical:
    x^{(m)/(n)}=\sqrt[n]{x^m}

For this, convert the fractional exponent to radical form as such:


(3p^3q)^{(3)/(4)}=\sqrt[4]{(3p^3q)^3}=\sqrt[4]{3^3p^(3*3)q^(1*3)}=\sqrt[4]{27p^(9)q^(3)}

Your final answer is
\sqrt[4]{27p^(9)q^(3)} , or B.

User Futuraprime
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