Question

step by step explanation on how to simplify​

Answer 1

Step-by-step explanation:

a)16/54^1/3

b)343^8000^1/3

a part can be simplified more by cutting on table of 2

16/54^1/3=8/27^1/3

Answer 2

Step-by-step explanation:

A)..

$\sqrt[3]{ \frac{16}{54} }$

Reduce the fraction with 2

$\sqrt[3]{ \frac{8}{27} }$

Calculate the cube root

$\frac{2}{3}$

B)..

$\sqrt[3]{ \frac{343}{8000} }$

To take a root of a fraction take the root of the numerator and denominator separately

$\frac{ \sqrt[3]{343} }{ \sqrt[3]{8000} }$

Write the number in exponential form with the base 7

$\frac{ \sqrt[3]{ {7}^{3} } }{ \sqrt[3]{8000} }$

Write the number in exponential form with the base 20

$\frac{ \sqrt[3]{ {7}^{3} } }{ \sqrt[3]{ {20}^{3} } }$

Reduce the index of the radical and exponent with 3

$\frac{7}{ \sqrt[3]{ {20}^{3} } }$

Reduce the index of the radical and exponent with 3

$\frac{7}{20}$

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