Graphing Calculator Entering 10 to The Negative 7th Power
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Reviewed by Calculator Editorial Team
Entering exponents like 10 to the negative 7th power (10⁻⁷) in a graphing calculator requires precise button sequences. This guide explains the correct method, common pitfalls, and practical applications of negative exponents.
How to Enter 10 to the Negative 7th Power
Negative exponents represent very small numbers. The expression 10⁻⁷ means 1 divided by 10 raised to the 7th power, or 1/10,000,000.
Formula
10⁻⁷ = 1 / (10⁷) = 0.0000001
Most graphing calculators use the caret (^) symbol or a dedicated exponent button to enter exponents. The negative sign is typically entered separately.
Step-by-Step Instructions
- Turn on your graphing calculator and clear any existing entries.
- Press the number 1 key.
- Press the division (÷) key.
- Press the 10 key.
- Press the caret (^) key.
- Press the 7 key.
- Press the equals (=) key to display the result.
Alternative Method
Some calculators have a dedicated exponent button (like [xⁿ]). If available, you can enter 10, press the exponent button, then enter -7.
Common Mistakes to Avoid
- Entering the negative sign after the exponent: 10^-7 is correct, but 10^-7 is incorrect.
- Forgetting to press the equals key, which may cause the calculator to display an error.
- Using the multiplication (×) key instead of the caret (^) for exponents.
Practical Examples
Negative exponents are used in scientific notation, chemistry, and physics. For example:
- 10⁻⁷ meters = 0.0000001 meters (1 nanometer)
- 10⁻⁷ grams = 0.0000001 grams (1 microgram)