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Which expression is equivalent to (2 Superscript one-half Baseline times 2 Superscript three-fourths Baseline) squared?

Respuesta :

Answer: [tex]\sqrt{32}[/tex]

Step-by-step explanation:

Assuming the described expression is:

[tex](2^{\frac{1}{2}} 2^{\frac{3}{4}})^{2}[/tex]

Since we have the same base, we can add the exponents:

[tex](2^{\frac{5}{4}})^{2}[/tex]

Multiplying the exponents:

[tex]2^{\frac{10}{4}}[/tex]

Simplifying the fraction in the exponent:

[tex]2^{\frac{5}{2}}=\sqrt{2^{5}}[/tex]

Finally the expression is equivalent to:

[tex]\sqrt{32}[/tex]

Answer:

4  (3  1/2 )

its C