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LAWS OF RADICALS
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| Property in Symbolic form | Property stated in words | Example |
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Definition:
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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 |
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Product:
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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 |
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Quotient:
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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 |
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Exponents:
caution: beware of negative bases when using this rule. See examples. |
caution:
beware of negative bases
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