Laws of Exponents
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An exponent is a mathematical notation that represents how many times a base is multiplied by itself. Other terms used to define exponents are â€˜powerâ€™ or â€˜indexâ€™. An exponential term is a term that can be expressed as a base raised to an exponent. For example, in an exponential expression an, 'a' is the base and â€˜n' is the exponent. The exponents can be numbers or constants; they can also be variables. Exponents are generally positive real numbers, but they can also be negative numbers. Laws of exponents: If a and b are any real numbers, and m and n are rational numbers then,  am Ã— an = am+n = am-n, m > n. (am)n = amn (am Ã— bm) = (a Ã— b)m $\frac{{\text{a}}^{\text{m}}}{{\text{b}}^{\text{m}}}$ = ($\frac{\text{a}}{\text{b}}$)m a0 = 1 a-n = $\frac{\text{1}}{{\text{a}}^{\text{n}}}$

#### Summary

An exponent is a mathematical notation that represents how many times a base is multiplied by itself. Other terms used to define exponents are â€˜powerâ€™ or â€˜indexâ€™. An exponential term is a term that can be expressed as a base raised to an exponent. For example, in an exponential expression an, 'a' is the base and â€˜n' is the exponent. The exponents can be numbers or constants; they can also be variables. Exponents are generally positive real numbers, but they can also be negative numbers. Laws of exponents: If a and b are any real numbers, and m and n are rational numbers then,  am Ã— an = am+n = am-n, m > n. (am)n = amn (am Ã— bm) = (a Ã— b)m $\frac{{\text{a}}^{\text{m}}}{{\text{b}}^{\text{m}}}$ = ($\frac{\text{a}}{\text{b}}$)m a0 = 1 a-n = $\frac{\text{1}}{{\text{a}}^{\text{n}}}$

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