Results Tree

How much is 3 to the power of 101?

Know the result of potentiation: 3 to the power of 101.

Result
Answer:

1.546132562196E+48

Resolution:

base: 3
exponent: 101
power: 1.546132562196E+48

Similar

Other ways of saying the same.

3 to 101 is equal to...

Detailed
Definition

What is?
The operation of exponentiation, or raising a number to a power, involves multiplying a base number by itself a certain number of times. The base number is raised to the power of the exponent, which indicates the number of times the base is multiplied by itself.

Elements:
The elements of potentiation are known:

  • Operation: 3 ^ 101;
  • base: 3;
  • exponent: 101;
  • operator: ^;
  • power: 1.546132562196E+48.

There are several properties of exponentiation that are important to understand in mathematics. These properties can be useful for simplifying expressions and solving problems. Here are some of the most common properties of exponentiation:
  • Product of Powers: When multiplying two powers with the same base, you can add their exponents. For example, a^m * a^n = a^(m+n).

  • Power of a Power: When raising a power to another power, you can multiply the exponents. For example, (a^m)^n = a^(m*n).

  • Power of a Product: When raising a product to a power, you can distribute the power to each factor. For example, (ab)^n = a^n * b^n.

  • Quotient of Powers: When dividing two powers with the same base, you can subtract their exponents. For example, a^m / a^n = a^(m-n).

  • Power of a Quotient: When raising a quotient to a power, you can distribute the power to both the numerator and the denominator. For example, (a/b)^n = a^n / b^n.

  • Negative Exponents: Any non-zero number raised to a negative exponent is equal to one divided by the same number raised to the corresponding positive exponent. For example, a^(-n) = 1 / a^n.

  • Zero Exponent: Any non-zero number raised to the power of zero is equal to one. For example, a^0 = 1.