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2 years ago

Which point is the same distance from the y-axis as point G but on the opposite side of the y-axis?

Mathematics

1 answer:

taurus [48]2 years ago

7 0

The point (6, 4) is the same distance from the y-axis as point G(-6, 4) but on the opposite side of the y-axis

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Point G on the coordinate plane is at G(-6, 4).

The point (6, 4) is the same distance from the y-axis as point G(-6, 4) but on the opposite side of the y-axis

Find out more on equation at: brainly.com/question/2972832

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Answer:

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Step-by-step explanation:

we have

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Remember the properties

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$(a^m)^{n}=a^{m*n}$

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

Part 1) we have

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

we know that

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

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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