Dividing Exponents Calculator

Input a set of exponential expressions to quickly calculate their quotient.

Calculate the Quotient of Exponents

Result

How to Calculate the Quotient of Two Exponents

Same Base: When the exponents share the same base, keep the base unchanged and subtract the exponents. The formula is: \( \frac{a^m}{a^n} = a^{m-n} \)
Different Bases: When the bases are different, calculate the value of each exponential expression separately, then divide the results.

How to Input Data

Enter the data in the form a^m, b^n, c^p, where the base and exponent are separated by ^, and expressions are separated by commas (, ), semicolons (; ), or line breaks, or a combination of these.

Examples

Example 1: Calculate \( 5^4 \div 5^2 \)

Solution:

Input (comma separated): 5^4, 5^2

Same base: subtract the exponents:

\( 5^4 \div 5^2 = 5^{4 - 2} = 5^2 = 25 \)

Result: \( 5^4 \div 5^2 = 25\)

Example 2: Calculate \( 10^4 \div 2^3\)

Solution:

Input (semicolon separated): 10^4; 2^3

Calculation:

\( 10^4 = 10000 \)

\( 2^3 = 8 \)

Divide the results:

\( 10000 \div 8 = 1250 \)

Result: \( 10^4 \div 2^3 = 1250\).