# Laws of Exponents

The laws of exponents are as follows: Any number to the power of 1 is equal to itself: a^{1}=a; The number 1 raised to any power is equal to 1: 1^{n}=1; Any number raised to the power of 0 is equal to 1: a^{0}=1; Add exponents to multiply powers of the same base number:a^{n}×a^{m}=a^{(n+m)}; Subtract exponents to divide powers of the same number; that is a^{n}÷a^{m}=a^{(n-m)}; Multiply exponents to raise a power to a power: (a^{n})^{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}=a^{n}×b^{n}; (a÷b)^{n}=a^{n}÷b^{n}. 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)}=5^{1}=5.

Provided by:

*Mometrix Test Preparation*

Last updated: 02/16/2018

Find us on Twitter: Follow @Mometrix