Multiplying Exponents Calculator
Multiply powers with the same base by adding exponents.
When multiplying powers of the same base, you simply add the exponents.
How the Math Works
When multiplying exponents with the same base, you add the exponents together while keeping the base unchanged. This works because multiplying powers with identical bases means you're essentially multiplying the base by itself multiple times. For example, b squared times b cubed equals b to the fifth power since you're multiplying b by itself 2 + 3 = 5 times total. The formula b^m x b^n = b^(m+n) captures this relationship perfectly, making complex exponential multiplication straightforward.
Practical Applications
To use this calculator, simply enter your base number and the two exponents you want to multiply together. The tool will automatically add the exponents and display the result with the base raised to the new exponent. This is particularly useful when working with polynomial expressions, scientific notation, or compound interest calculations where you need to combine exponential terms quickly and accurately.
Day-to-Day Use
This calculation appears in everyday situations like calculating compound interest on savings, determining population growth rates, or working out computer storage measurements (like multiplying bytes by powers of 10). It's also helpful when scaling recipes or understanding exponential growth patterns in everything from viral social media posts to bacterial growth in your kitchen. The calculator saves you time and reduces errors when dealing with these common exponential scenarios.
Worked example
2³ × 2⁴ = 2⁷ = 128.
FAQ
Does this work for different bases?
No — the rule applies only when the bases are identical.