Exponential form is a way of writing numbers using bases and powers. It is a shortcut way of writing repeated multiplication involving base and exponents. In exponential form, a single number is multiplied by itself a number of times x so that the equation y becomes the base factor b to the power of x, which is the number of times the base is used as a factor. The exponential form is also known as the power.

The exponential form is written as a base raised to a power. For example, 5 × 5 × 5 × 5 can be written as 5^4. The base is the number being multiplied, and the exponent is the number of times the base is being multiplied.

Exponential form is used for writing factors that are the same, for example, when multiplying 2 times 2 times 2 times 2. It is also used to represent repeated multiplications of the same number by writing the number as a base with the number of repeats written as a small number to its upper right.

To convert logarithmic to exponential form, the formula ea = b is used, where a is the logarithm and b is the base. For example, if log10 100 = 2, then 10^2 = 100.

In summary, exponential form is a way of writing numbers using bases and powers, where the base is the number being multiplied, and the exponent is the number of times the base is being multiplied. It is used for writing factors that are the same and for representing repeated multiplications of the same number.