What Are Exponential Numbers?

Terminology

The expression b^2 = b ⋅ b is called "the square of b" or "b squared", because the area of a square with side-length b is b^2.

Positive Exponents

Zero Exponent

Negative Exponents

Powers with positive integer exponents may be defined by the base case.

Any nonzero number raised to the 0 power is 1.

Raising 0 to a negative exponent is undefined, but in some circumstances, it may be interpreted as infinity (∞).
The identity above may be derived through a definition aimed at extending the range of exponents to negative integers.

Rational exponents are expressions with exponents that are rational numbers. All the standard rules of exponents still apply.

Addition And Subtraction In Exponents

Multiplication And Division In Exponents

To add exponents, both the exponents and variables should be alike. You add the coefficients of the variables leaving the exponents unchanged.

You simply compute the result and then perform the normal subtraction. If both the exponents and the bases are the same, you can subtract them like any other like terms in algebra.

For numbers with the same base and negative exponents, we just add the exponents. In general

o divide exponents with the same base, subtract the exponents. Division is the opposite of multiplication,.