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Justify [tex] \sqrt[3]{8} \times \sqrt[3]{8} = 16[/tex]using the properties of exponents in at least two different ways.

Justify Tex Sqrt38 Times Sqrt38 16texusing The Properties Of Exponents In At Least Two Different Ways class=

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EXPLANATION

Given the cubic root:

[tex]\sqrt[3]{8}\cdot\sqrt[3]{8}[/tex]

Rewriting 8 as 2^3:

[tex]=\sqrt[3]{2^3}\cdot\sqrt[3]{2^3}[/tex]

Applying the property of roots:

[tex]\sqrt[3]{a^3}=a[/tex]

[tex]=2\cdot2=4[/tex][tex]\sqrt[3]{8}\cdot\sqrt[3]{8}=\sqrt[3]{8^2}=\sqrt[3]{64}=4[/tex]

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