3 years ago

Evaluate the expression. (343)^-1/3

Mathematics

1 answer:

Sonbull [250]3 years ago

4 0

Answer:

1/7

Step-by-step explanation:

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Remember that:

$\sqrt[n]{a^n}=a$

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Rewrite the expression:

$\frac{\sqrt{18x} }{\sqrt{32} }$

Descompose 18 and 32 into their prime factors:

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Substitute into the expression, then:

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Finally,simplifying, you get:

$\frac{3\sqrt{(2)x} }{2^2\sqrt{2} }=\frac{3\sqrt{2x}}{4\sqrt{2}}=\frac{(3)(\sqrt{x})(\sqrt{2})}{(4)(\sqrt{2})}= \frac{3\sqrt{x}}{4}$

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3 years ago

Evaluate the expression. (343)^-1/3​

Evaluate the expression. (343)^-1/3