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Which of the following is equal to 5^(2/3)?
Which of the following is equal to 5^(2/3)?
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Practice Questions
1 question
Q1
Which of the following is equal to 5^(2/3)?
√(25)
5√(5)
25
√(125)
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5^(2/3) = (5^(1/3))^2 = 5√(5).
Questions & Step-by-step Solutions
1 item
Q
Q: Which of the following is equal to 5^(2/3)?
Solution:
5^(2/3) = (5^(1/3))^2 = 5√(5).
Steps: 5
Show Steps
Step 1: Understand that 5^(2/3) means 5 raised to the power of 2/3.
Step 2: Recognize that the exponent 2/3 can be split into two parts: the numerator (2) and the denominator (3).
Step 3: Rewrite 5^(2/3) as (5^(1/3))^2. This means we first take the cube root of 5 and then square it.
Step 4: Calculate 5^(1/3), which is the cube root of 5. We can write this as 5√(5).
Step 5: Now, square the result from Step 4. So, (5^(1/3))^2 = (5√(5))^2.
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