Question

Simplify: 8^1/3x16^1/3
32^1/3
plz solve it fast....​

Answer 1

Answer:

$\: 8^{\frac{1}{3}} \times 16^{\frac{1}{3}} \times 32^{\frac{1}{3}}= 16$

Step-by-step explanation:

$Given \: 8^{\frac{1}{3}} \times 16^{\frac{1}{3}} \times 32^{\frac{1}{3}}$

$=\left( 8\times 16 \times 32\right)^{\frac{1}{3}}$

$Since, \boxed {a^{m}\times b^{m} = (ab)^{m}}$

$= \left( 2^{3}\times 2^{4} \times 2^{5}\right)^{\frac{1}{3}}$

$=\left( 2^{3+4+5}\right)^{\frac{1}{3}}$

$=\left( 2^{12}\right)^{\frac{1}{3}}$

$=2^{\frac{12}{3}}\\=2^4\\=16$

Therefore,

$\: 8^{\frac{1}{3}} \times 16^{\frac{1}{3}} \times 32^{\frac{1}{3}}= 16$

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