Select the correct answer. Which expression is equivalent to , if x ≠ 0
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[tex]\sqrt[3]{27x} +\sqrt[3]{x} =3\sqrt[3]{x}+\sqrt[3]{x} =4\sqrt[3]{x}[/tex]
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The expression ∛(27x) + ∛x is equivalent to the expression 4∛x option (A) 4∛x is correct.
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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