Laws of Exponents

The laws of exponents are as follows: Any number to the power of 1 is equal to itself: a1=a; The number 1 raised to any power is equal to 1: 1n=1; Any number raised to the power of 0 is equal to 1: a0=1; Add exponents to multiply powers of the same base number:an×am=a(n+m); Subtract exponents to divide powers of the same number; that is an÷am=a(n-m); Multiply exponents to raise a power to a power: (an)m=a(n×m); as well as If multiplied or divided numbers inside parentheses are collectively raised to a power, this is the same as each individual term being raised to that power: (a×b)n=an×bn; (a÷b)n=an÷bn. Note: Exponents do not have to be integers. Fractional or decimal exponents follow all the rules above as well. Example: 5(1/4)×5(3/4)=5(1/4+3/4)=51=5.


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Last updated: 02/16/2018
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