Answered

Explore a vast range of topics and get informed answers at IDNLearn.com. Get the information you need from our community of experts, who provide detailed and trustworthy answers.

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=

Sagot :

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]

We appreciate your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Find the answers you need at IDNLearn.com. Thanks for stopping by, and come back soon for more valuable insights.