Question

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

Answer 1

Answer:

12√b5

Step-by-step explanation:

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

Answer 2

Answer:  Choice A) $b^{5/12}$

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Work Shown:

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

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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.