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4 years ago

Which expressions are equivalent to RootIndex 3 StartRoot 128 EndRoot Superscript x? Select three correct answers.

Mathematics

1 answer:

Virty [35]4 years ago

7 0

Answer:

(A) $128^{x/3}$

(D) $(4(2^{1/3}))^x$

Step-by-step explanation:

We want to determine which of the expression is equivalent to:

$\sqrt[3]{128}^ x$

By the law of indices:

$\sqrt[3]{128}=128^{1/3}\\$Therefore:\\\sqrt[3]{128}^ x \\=(128^{1/3})^x\\=128^{x/3}$

Similarly:

$\sqrt[3]{128}^ x \\=\sqrt[3]{64*2}^ x\\=(4\sqrt[3]{2})^ x\\=(4(2^{1/3}))^x$

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<h3>Solution:</h3>

Given that line m contains points (-3, 4) and (1, 0)

We are asked to find the equation of line perpendicular to line containing points (-3, 4) and (1, 0) and passes through (-2, 6)

Let us first find slope of the line "m"

Given two points are (-3, 4) and (1, 0)

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y = x + 8

Thus equation of required line in point slope form is y = x + 8

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