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LostCottenCandy

[tex] \large \boxed {\sf \color{purple}Option \: D) {100}^{32} }[/tex]

  • [tex] \large\sf \sqrt{10,000 {x}^{64}} [/tex]

  • [tex] \large \sf( {10}^{4} \times {x}^{64}) \frac{1}{2} [/tex]

  • [tex] \large \sf \: 10 \frac{4}{2} \times x \frac{64}{2} [/tex]

  • [tex] \large \sf \: {10}^{2} \times {x}^{32} [/tex]

  • [tex] \large \boxed{ \sf \red{{100}^{32}}}[/tex]

Hope It's Helps

MrRoyal

Equivalent expressions are expressions with equal values

The simplified expression is 100x^3

The expression is given as:

[tex]\sqrt{10000x^6[/tex]

Rewrite the expression as:

[tex]\sqrt{100^2 * x^6[/tex]

Further, rewrite as:

[tex](100^2 * x^6)^{1/2}[/tex]

Expand

[tex](100^{2*1/2} * x^{6*1/2})[/tex]

Simplify

[tex](100* x^3)[/tex]

Evaluate the product

100x^3

Hence, the simplified expression is 100x^3

Read more about equivalent expressions at:

https://brainly.com/question/2972832

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