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Evaluate the left hand side to find the value of aa in the equation in simplest form.x, to the power 4 , x, start superscript, one third, end superscript, equals, x, to the power ax 4 x 31​ =x a

Question

Evaluate the left hand side to find the value of aa in the equation in simplest form.x, to the power 4 , x, start superscript, one third, end superscript, equals, x, to the power ax 4 x 31​ =x a

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Solution

The equation you've given is x^4 * x^(1/3) = x^a.

To solve for a, we need to remember that when you multiply terms with the same base, you add the exponents.

So, x^4 * x^(1/3) becomes x^(4 + 1/3).

Simplifying the exponent, we get x^(4 + 1/3) = x^(4.333...).

Therefore, a = 4.333... in the equation x^a.

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