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Answer :
We start with the expression
[tex]$$170\, x^{\frac{4}{3}}.$$[/tex]
The goal is to rewrite the power [tex]$x^{\frac{4}{3}}$[/tex] using radical notation. Recall that an exponent of the form [tex]$\frac{m}{n}$[/tex] can be written as a radical:
[tex]$$x^{\frac{m}{n}} = \sqrt[n]{x^m}.$$[/tex]
Here, [tex]$m=4$[/tex] and [tex]$n=3$[/tex], so
[tex]$$x^{\frac{4}{3}} = \sqrt[3]{x^4}.$$[/tex]
Thus, we can express the original model as
[tex]$$170\, x^{\frac{4}{3}} = 170\, \sqrt[3]{x^4}.$$[/tex]
Comparing with the given choices, the equivalent expression is:
[tex]$$170 \sqrt[3]{x^4}.$$[/tex]
Therefore, the correct answer is option 1.
[tex]$$170\, x^{\frac{4}{3}}.$$[/tex]
The goal is to rewrite the power [tex]$x^{\frac{4}{3}}$[/tex] using radical notation. Recall that an exponent of the form [tex]$\frac{m}{n}$[/tex] can be written as a radical:
[tex]$$x^{\frac{m}{n}} = \sqrt[n]{x^m}.$$[/tex]
Here, [tex]$m=4$[/tex] and [tex]$n=3$[/tex], so
[tex]$$x^{\frac{4}{3}} = \sqrt[3]{x^4}.$$[/tex]
Thus, we can express the original model as
[tex]$$170\, x^{\frac{4}{3}} = 170\, \sqrt[3]{x^4}.$$[/tex]
Comparing with the given choices, the equivalent expression is:
[tex]$$170 \sqrt[3]{x^4}.$$[/tex]
Therefore, the correct answer is option 1.
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