What is the square root of 5 to the power of 4/3?

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Bytelearn · Accepted Answer

Understand the expression: Understand the expression. The expression is (√5)^(4/3). This means we need to take the square root of 5 and then raise it to the power of 4/3.Simplify square root of 5: Simplify the square root of 5. The square root of 5 is an irrational number, and it cannot be simplified further. So, we keep it as √5.Apply power of 4/3: Apply the power of 4/3 to the square root of 5. The power of 4/3 can be broken down into two steps: squaring (√5)^2 and then taking the cube root of the result to the power of 1/3. So, we first square √5. (√5)^2 = 5Apply cube root: Apply the cube root to the result of Step 3. Now we take the cube root of 5 to the power of 1/3. 5^(1/3) is the cube root of 5.Raise to power of 4: Raise the result of Step 4 to the power of 4. Now we raise the cube root of 5 to the power of 4. (5^(1/3))^4 = 5^(4/3)Simplify the expression: Simplify the expression. Since we have already established that 5^(4/3) is the final expression, we can conclude that this is the simplest form of the expression, as 5 cannot be simplified further.

What is the square root of $5$ to the power of $\frac{4}{3}?$

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What is the square root of $5$ to the power of $\frac{4}{3}?$