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Assoli18 [71]
3 years ago
11

Which expression is equivalent too ooo​

Mathematics
2 answers:
Svetradugi [14.3K]3 years ago
6 0

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

k0ka [10]3 years ago
5 0

Answer:

a

Step-by-step explanation:

becuase you distribute the numbers

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