Input a set of exponential expressions to quickly calculate their difference.
In mathematics, the difference between exponents refers to subtracting the value of one exponential expression from another, typically represented as \( a^n - b^m \). The process involves calculating each exponential value individually before performing the subtraction.
Example: Calculate \( 3^4 - 5^2 \)
Solution:
\( 3^4 = 81 \)
\( 5^2 = 25 \)
Subtract: \( 81 - 25 = 56 \)
Input your expressions as a^n, b^m, c^p, where ^ separates the base and exponent, and comma (, ), semicolon (; ) or line breaks to separate individual expressions.
Solution:
Input (comma separated): 7^2, 4^3
Steps:
First exponent: \( 7^2 = 49 \)
Second exponent: \( 4^3 = 64 \)
Subtract:
\( 49 - 64 = -15 \)
Result: The difference between \( 7^2, 4^3 \) is \( -15 \).
Solution:
Input (semicolon separated): 3^4; 2^5; 6^2
Steps:
First exponent: \( 3^4 = 81 \)
Second exponent: \( 2^5 = 32 \)
Third exponent: \( 6^2 = 36 \)
Subtract:
\( 81 - 32 - 36 = 13 \)
Result: The difference between \( 3^4, 2^5, 6^2 \) is \( 13 \).