Exponent Calculator
Quickly Solve Powers and Exponential Expressions.
Calculation Examples
How to Use Exponent Calculator?
Enter your "Base" number (the number you want to multiply) and your "Exponent" (the number of times to multiply it). Our calculator handles positive integers, negative numbers, and even fractions.
For example, to find 2^5, enter 2 as the base and 5 as the exponent. To find a square root, you can enter 0.5 as the exponent. Click "Calculate" to see the result, along with the expanded form of the expression to help you understand the math behind the answer.
How Exponents Are Computed
A base number raised to an exponent means repeated multiplication of the base number by itself however many times indicated by the exponent. For positive integer exponents: $3^4$ indicates that 3 is multiplied 4 times, or $3 \times 3 \times 3 \times 3 = 81$. Negative integer exponents indicate the inverse: $2^{-3} = 1/(2^3) = 1/8$. Fractional exponents indicate roots and represent powers as well: $16^{1/2} = 4$ represents the "square root of 16." The calculator utilizes large values with estimates of logarithms to maximize efficiency while producing accurate results.
Useful Tips 💡
- Verify large exponents with logarithmic checks for overflow.
- Convert fractions to decimals for smoother fractional power inputs.
📋Steps to Calculate
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Input the base number clearly.
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Enter the exponent value next.
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Hit calculate for the result.
Mistakes to Avoid ⚠️
- Calculating a^(−b) as −(a^b) instead of 1/a^b.
- Forgetting order of operations: 2^3^2 = 2^(3^2) = 512, not (2^3)^2 = 64.
- Using percentage as exponent (5% as 5 instead of 0.05).
- Confusing e^x with ln(x).
Practical Applications📊
Finance: Calculating compound interest using exponential growth formulas.
Science: Measuring radioactive decay or bacterial growth over time.
Computer Science: Calculating data sizes (e.g., 2^{10} bytes in a kilobyte).