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Simplify the expression.

(the quantity x to the one-sixth power end quantity to the power of 3.)

User Chiffon
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2 Answers

6 votes

Answer:

x 1/2 took the quiz

User Geena
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1 vote

Answer:


√(x)

Explanation:

If we have that worded expression, we can convert it into actual mathematical terms.

x to the one sixth power:
x^{(1)/(6)}

That to the power of 3:


(x^{(1)/(6)})^3

Using exponent rules, since we have a power to a power, the powers multiply, so:


x^{(1)/(6)\cdot 3}\\\\x^{(3)/(6)}\\\\ x^{(1)/(2)}

If we have a number to a fraction power, the denominator becomes the “find the (denominator) root of x.

So:


x^{(1)/(2)} = √(x)

Hope this helped!

User Dominik Honnef
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