Question

What this simplified

Answer 1

Answer:

$\frac{3b\sqrt[3]{c^{2}} }{a^{2} }$

Step-by-step explanation:

∛(27a⁻⁶b³c²)

To simplify, first apply the cube root the each of the terms. Keep in mind this rule: $\sqrt[n]{a^{m}} = (\sqrt[n]{a})^{m} = a^{m/n}$

∛27 = 3    (because 3*3*3 = 27)

∛a⁻⁶ = $a^{-6/3}$ = $a^{-2}$ = $\frac{1}{a^{2}}$

∛b³ = $b^{3/3}$ = $b^{1}$ = b

∛c² = $c^{2/3}$

∛(27a⁻⁶b³c²)

= $\frac{3b\sqrt[3]{c^{2}} }{a^{2} }$

Simplified form generally follows these rules:

No negative exponents

No fraction exponents

Keep in fractional form

Reduce numerical values