Exponential Growth Calculator
Exponential growth multiplies by the same factor each period: 500 growing 8% for 5 periods reaches 734.6640384.
734.6640384
Full answer, then cut to fewer decimals (not rounded):
- 734.6640384
- 734.664038
- 734.66403
- 734.6640
- 734.664
- 734.66
- 734.6
- Growth / decay factor per period
- 1.08
- Change
- 234.6640384
- Doubling time
- 9.006468342 periods
Step-by-step solution
- y = a(1 + r)ᵗ
- = 500 × 1.08^5
- = 734.6640384
Exponential Growth Formula
y = a(1 ± r)ᵗ
a initial value, r rate per period, t periods; continuous: y = a·e^(±rt)
Worked Example
500 growing 8% per period for 5 periods:
- y = a(1 + r)ᵗ
- = 500 × 1.08^5
- = 734.6640384
Change: 234.6640384 · Doubling time: 9.006468342 periods
Test-day tip
SAT questions often change the time unit: growth of 10% per year written per month is (1.1)^(t/12). Check the exponent matches the period the rate applies to.
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y = a(x − h)² + k, h = −b/2a, k = c − ah²
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√(k²·m) = k√m
take out the largest perfect square (or cube) factor
Example: The square root of 72: Simplified = 6√2.
Frequently asked questions
How do I tell exponential growth from linear growth?
Linear growth adds the same amount each period; exponential growth multiplies by the same factor. A table where y doubles every step is exponential.
What does the base tell me in y = a·bᵗ?
b > 1 is growth with rate b − 1; 0 < b < 1 is decay with rate 1 − b. A base of 0.85 means a 15% decrease per period.
Sources
Last reviewed: . Factors are stored exactly and computed with 50-digit decimal arithmetic. See how we verify conversion factors.
Cite this page
APA
Scientific Converters. (2026, October 15). Exponential Growth Calculator. Retrieved October 25, 2026, from https://scientificconverters.com/calculators/exponential-growth-calculator/
IEEE
Scientific Converters, "Exponential Growth Calculator," scientificconverters.com. Accessed: Oct. 25, 2026. [Online]. Available: https://scientificconverters.com/calculators/exponential-growth-calculator/