Question

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

Answer 1

4 (3 1/2 )

its C

Answer 2

Answer:
`√(32)`

Explanation:

Assuming the described expression is:

`(2^{(1)/(2)} 2^{(3)/(4)})^(2)`

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

`(2^{(5)/(4)})^(2)`

Multiplying the exponents:

`2^{(10)/(4)}`

Simplifying the fraction in the exponent:

`2^{(5)/(2)}=\sqrt{2^(5)}`

Finally the expression is equivalent to:

`√(32)`