- 1). Convert the square root into power form through the use of a fractional exponent. The degree of the root becomes the denominator of the exponent and the degree of the operand becomes the numerator. For example, converting the sqrt(3) into power form finds: sqrt(3) = 3^(1/2), because the degree of the root is 2 and the degree of the operand is 1.
- 2). Subtract the numerator exponent from the denominator exponent. For example, dividing 3^(1/2) by 3^5 finds: 3^(1/2) by 3^5 = 1 / 3^(5 - 1/2) = 1 / 3^(4.5).
- 3). Solve for the resulting term. For example, using a calculator to solve 1 / 3^(4.5) finds: 1 / 3^(4.5) = 1 / 140.3 = .007.
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