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Select the correct answer. Which expression is equivalent to , if x ≠ 0
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Select The Correct Answer Which Expression Is Equivalent To If X 0 Image Below class=

Sagot :

[tex]\sqrt[3]{27x} +\sqrt[3]{x} =3\sqrt[3]{x}+\sqrt[3]{x} =4\sqrt[3]{x}[/tex]

Good day and hoped that helped!

The expression ∛(27x) + ∛x is equivalent to the expression 4∛x option (A) 4∛x is correct.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

It is given that:

= ∛(27x) + ∛x

As we know, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

We can write ∛(27x) as:

∛(27x) = ∛(3³x)

∛(3³x) = (∛3³)×(∛x)

∛(3³x) = 3∛x

∛(27x) = 3∛x

= 3∛x + ∛x

= 4∛x

The expression  ∛(27x) = ∛(3³x) is equivalent to the expression 4∛x

Thus, the expression ∛(27x) + ∛x is equivalent to the expression 4∛x option (A) 4∛x is correct.

Learn more about the expression here:

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