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 a^{n}, '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,
a^{m} Ã— a^{n} = a^{m+n}
$\frac{{\text{a}}^{\text{m}}}{{\text{a}}^{\text{n}}}$ = a^{m-n}, m > n.
(a^{m})^{n} = a^{mn}
(a^{m} Ã— b^{m}) = (a Ã— b)^{m}
$\frac{{\text{a}}^{\text{m}}}{{\text{b}}^{\text{m}}}$ = ($\frac{\text{a}}{\text{b}}$)^{m}
a^{0} = 1
a^{-n} = $\frac{\text{1}}{{\text{a}}^{\text{n}}}$
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 a^{n}, '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,
a^{m} Ã— a^{n} = a^{m+n}
$\frac{{\text{a}}^{\text{m}}}{{\text{a}}^{\text{n}}}$ = a^{m-n}, m > n.
(a^{m})^{n} = a^{mn}
(a^{m} Ã— b^{m}) = (a Ã— b)^{m}
$\frac{{\text{a}}^{\text{m}}}{{\text{b}}^{\text{m}}}$ = ($\frac{\text{a}}{\text{b}}$)^{m}
a^{0} = 1
a^{-n} = $\frac{\text{1}}{{\text{a}}^{\text{n}}}$