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To convert an nth root notation to one that uses fractional exponents you change the index n to the exponent?
1/n
What does fractional index mean?
A power with a rational exponent m/n in lowest terms satisfies : whenever this makes sense.
How do you express something in radical form?
Using a radical (square root) bar. I can't get one on the screen, but I'm sure you know what they look like. Example: fractional exponents can be rewritten in radical form: x2/3 means the cube root of (x2) ... write a radical with an index number 3 to show cube root and the quantity x2 is inside the radical. Any fractional exponent can be done the same way. The denominator of the fractional exponent becomes the index of the radical, but the numerator stays as a whole number exponent in the radical.
How does the exponent laws work with rational fractional exponents?
Paranthisis Exponent Multiply Divide Add Subtract you use pemdas for instance (2/3 x 3/2)3 + 5 = 8
How do you calculate a decimal to a negative fractional exponent?
The negative exponent is defined as the reciprocal of the positive exponent. Here is an example: 10-2/3 = 1/102/3 This, in turn, can be converted to a root. So, in the end result, you have: 1/102/3 = 1 / cubic root of (102) or 1 / (cubic root of 10)2
