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4 years ago

12

A home alarm system randomly assigns a five-character code for each person. The code will not repeat a character. The characters

are 0, 1, 2, 3, 4, 5, M, V, T, G, Y, or R. What is the total number of codes that can be randomly assigned?

1 answer:

gladu [14]4 years ago

5 0

144?

Tell me if im wrong..

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$\sqrt[7]{x^{4}}$

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Step-by-step explanation:

we have

$x^{\frac{4}{7}}$

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<u><em>Verify each case</em></u>

Part 1) we have

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we know that

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Compare with the given expression

$x^{\frac{7}{4}} \neq x^{\frac{4}{7}}$

Part 2) we have

$\sqrt[7]{x^{4}}$

we know that

$\sqrt[7]{x^{4}}=x^{\frac{4}{7}}$

Compare with the given expression

$x^{\frac{4}{7}} = x^{\frac{4}{7}}$

therefore

Is equivalent to the given expression

Part 3) we have

$(x^{\frac{1}{7}})^{4}$

we know that

$(x^{\frac{1}{7}})^{4}=x^{\frac{4}{7}}$

Compare with the given expression

$x^{\frac{4}{7}} = x^{\frac{4}{7}}$

therefore

Is equivalent to the given expression

Part 4) we have

$(x^{\frac{1}{4}})^{7}$

we know that

$(x^{\frac{1}{4}})^{7}=x^{\frac{7}{4}}$

Compare with the given expression

$x^{\frac{7}{4}} \neq x^{\frac{4}{7}}$

Part 5) we have

$(\sqrt[4]{x})^{7}$

we know that

$(\sqrt[4]{x})^{7}=(x^{\frac{1}{4}})^{7}=x^{\frac{7}{4}}$

Compare with the given expression

$x^{\frac{7}{4}} \neq x^{\frac{4}{7}}$

Part 6) we have

$(\sqrt[7]{x})^{4}$

we know that

$(\sqrt[7]{x})^{4}=(x^{\frac{1}{7}})^{4}=x^{\frac{4}{7}}$

Compare with the given expression

$x^{\frac{4}{7}} = x^{\frac{4}{7}}$

therefore

Is equivalent to the given expression

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