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Gekata [30.6K]
3 years ago
5

Whats the simplified form of the expression? (13points+brainliest)

Mathematics
2 answers:
klasskru [66]3 years ago
4 0

Answer:

12√b5

Step-by-step explanation:

.................

Firlakuza [10]3 years ago
4 0

Answer:  Choice A) b^{5/12}

=======================================

Work Shown:

\frac{\sqrt[3]{b^2}}{\sqrt[4]{b}}\\\\\\\frac{b^{2/3}}{b^{1/4}}\\\\\\b^{2/3 - 1/4}\\\\\\b^{8/12 - 3/12}\\\\\\b^{5/12}\\\\\\

--------

Explanation:

  • In the second step, I converted from radical form to rational exponent form. The rule is \sqrt[n]{x^m} = x^{m/n}
  • In the third step, I subtracted the exponents through the rule \frac{a^b}{a^c} = a^{b-c} where 'a' is nonzero.
  • The answer is equivalent to \sqrt[12]{b^5} which is the 12th root of b^5.
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