Question

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

Answer 1

Answer:

$\sqrt{x}$

Step-by-step explanation:

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

x to the one sixth power: $x^{\frac{1}{6}}$

That to the power of 3:

$(x^{\frac{1}{6}})^3$

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

$x^{\frac{1}{6}\cdot 3}\\\\x^{\frac{3}{6}}\\\\ x^{\frac{1}{2}}$

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

So:

$x^{\frac{1}{2}} = \sqrt{x}$

Hope this helped!

Answer 2

Answer:

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