Question

Which expression is equivalent to
o ooo​

Answer 1

a

Explanation:

becuase you distribute the numbers

Answer 2

By definition of multiplication of powers of the same base we have to put the same base and add the exponents, then, we can rewrite the expression as:

`(2 ^ {\frac {1} {2} + \frac {3} {4}}) ^ 2 =\\(2 ^ {\frac {4 + 6} {8}}) ^ 2 =\\(2 ^ {\frac {10} {8}}) ^ 2 =\\(2 ^ {\frac {5} {4}}) ^ 2 =`

By definition of power properties we have to:

`(a ^ n) ^ m = a ^ {n * m}`

So, we have:

`2 ^ {\frac {10} {4}} =\\2 ^ {\frac {5} {2}} =`

By definition of properties of powers and roots we have:

`\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}`

So, the expression is equivalent to:

`2 ^ {\frac {5} {2}} = \sqrt {2 ^ 5}`

ANswer:

Option B