By Chris Deziel, Updated Aug 30, 2022

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Scientific calculators are indispensable tools for scientists, offering a range of advanced functions beyond the basics of business calculators. One of the most valuable features is the ability to compute exponents quickly and accurately. While most models follow the standard pattern of entering the base, pressing the exponent key, and then the exponent, some older or budget models may require the reverse order. A quick test can confirm your calculator’s behavior.

Scientific vs. Business Calculators

The distinction is easy to spot once you test a simple expression. Enter (3+2*5=) in that order:

• Scientific calculators perform the multiplication first, yielding 13.
• Business calculators execute operations sequentially, giving 25.

Key features unique to scientific calculators include:

• Negation (NEG or (-)) – flips the sign of a number.
• Square Root (√) – returns the square root of the entered value.
• Natural Logarithm (LN) – computes the natural log of a number.
• Trigonometric Functions – sine, cosine, tangent, and their inverses.
• Exponent Key (^) or (E) – raises any number to a chosen power.
• Natural Exponent (ex) – evaluates e^x for the entered exponent.

Using the Exponent Key

To calculate y^x, most calculators follow this sequence: base → exponent key → exponent. For example:

• Enter 10, press the exponent key, then 5, and hit =. The display shows 100,000 (10⁵).
• Test your calculator by entering 2, pressing the exponent key, then 3. A correct result is 8; a 9 indicates the calculator expects the exponent first.

Some models label the exponent function as yx, which operates identically to the ^ key.

Reading Exponents and Scientific Notation

When a number exceeds the display capacity—such as 265 billion—the calculator automatically switches to scientific notation, using the letter E to denote powers of ten. For instance, 265 billion appears as 2.65 E 11. Arithmetic operations with such numbers remain accurate and are presented in the same notation:

• 2.65 E 8 + 5.78 E 7 = 3.23 E 8
• 2.65 E 8 ÷ 5.78 E 7 = 4.58

Mastering these features ensures you can perform complex calculations with confidence, whether you’re working on scientific research, engineering projects, or advanced mathematics.