Exponent Calculator
Calculate exponential values by entering any two of the three fields
Exponent Calculator
Enter values into any two of the input fields to solve for the third. Calculate exponential values with our comprehensive calculator that supports positive and negative bases and exponents.
🧮 Exponential Calculation
📊 Calculation Results
Steps:
Properties
📚 Understanding Exponents
What is an Exponent?
Exponentiation is a mathematical operation, written as an, involving the base a and an exponent n. In the case where n is a positive integer, exponentiation corresponds to repeated multiplication of the base, n times.
Negative Exponents
When an exponent is negative, the negative sign is removed by reciprocating the base and raising it to the positive exponent. For example: a-n = 1/an
Special Cases
When an exponent is 1, the base remains the same: a1 = a. When an exponent is 0, the result is always 1: a0 = 1.
Basic Exponent Laws and Rules
Product Rule
When exponents that share the same base are multiplied, the exponents are added.
Example: 22 × 24 = 2(2+4) = 26 = 64
Quotient Rule
When exponents that share the same base are divided, the exponents are subtracted.
Example: 24 / 22 = 2(4-2) = 22 = 4
Power Rule
When exponents are raised to another exponent, the exponents are multiplied.
Example: (22)4 = 2(2×4) = 28 = 256
Product to Power Rule
When multiplied bases are raised to an exponent, the exponent is distributed to both bases.
Example: (2 × 4)2 = 22 × 42 = 4 × 16 = 64