which of the following choices are equivalent to the expression below? check all that apply
x^3/8
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Applying the law of exponents, the expressions that are equivalent to x^3/8 are:
B. [tex]\sqrt[8]{x^3}[/tex]
D. [tex](\sqrt[8]{x})^3[/tex]
One of the law of exponents is given as: [tex]x^{\frac{m}{n} } = \sqrt[n]{x^m}[/tex].
Thus, given the expression, x^3/8
Applying the law of exponent, we have:
[tex]x^{\frac{3}{8} } = \sqrt[8]{x^3} = (\sqrt[8]{x})^3[/tex]
Therefore, applying the law of exponents, the expressions that are equivalent to x^3/8 are:
B. [tex]\sqrt[8]{x^3}[/tex]
D. [tex](\sqrt[8]{x})^3[/tex]
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