Question
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Tutor-Verified Answer
Answer
The result is
Solution
Calculate or simplify the expression
Calculate the value by following steps:
Calculate the value by following steps:
- step0: Calculate:
- step1: Simplify the root:
- step2: Evaluate the root:
- step3: Evaluate the power:
- step4: Multiply by the Conjugate:
- step5: Simplify:
- step6: Multiply the numbers:
- step7: Multiply the numbers:
- step8: Reduce the fraction:
The result of dividingusing fractional exponents is .
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Simplify this solution Beyond the Answer
To simplify
The square root can be expressed as an exponent of
Next, the fourth root can be expressed as an exponent of
Now we can rewrite the original expression:
According to the properties of exponents, when dividing powers with the same base, we subtract the exponents:
To subtract the exponents, we need a common denominator. The least common denominator between 2 and 4 is 4, so we convert
Now we can perform the subtraction:
Thus, we have:
Ultimately, the simplified expression is:
