LAWS OF RADICALS
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Property in Symbolic form | Property stated in words | Example |
Definition: |
A radical represents a fractional exponent in which the numerator of the fractional exponent is the power of the base and the denominator of the fractional exponent is the index of the radical. |
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Property in Symbolic form | Property stated in words | Example |
Product: |
The
nth root of a product is equal to the product of the nth
root of each factor.
Note: the indices must be the same. |
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Property in Symbolic form | Property stated in words | Example |
Quotient: |
The nth root of a quotient is equal to the nth root of the numerator divided by the nth root of the denominator. |
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Property in Symbolic form | Property stated in words | Example |
Exponents:
caution: beware of negative bases when using this rule. See examples. |
caution:
beware of negative bases
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