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4 votes
Which expression is equivalent to
o ooo​

Which expression is equivalent to o ooo​-example-1
User Alex Poca
by
7.0k points

2 Answers

5 votes

Answer:

a

Explanation:

becuase you distribute the numbers

User Ziv Galili
by
7.8k points
6 votes

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

User Hoa Hoang
by
7.7k points

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