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Exponents are also called Powers or Indices. The exponent of a number says how many times to use the number in a multiplication. In this example: 82 = 8 × 8 = 64. In words: 8 2 could be called "8 to the second power", "8 to the power 2" or simply "8 squared". Try it yourself:
Exponent rules are those laws that are used for simplifying expressions with exponents. Learn about exponent rules, the zero rule of exponent, the negative rule of exponent, the product rule of exponent, and the quotient rule of exponent with the solved examples, and practice questions.
Exponents. The exponent of a number says how many times to use the number in a multiplication. In 82 the "2" says to use 8 twice in a multiplication, so 82 = 8 × 8 = 64. In words: 8 2 could be called "8 to the power 2" or "8 to the second power", or simply "8 squared" Some more examples: Example: 53 = 5 × 5 × 5 = 125.
The rules. Product of exponentials with same base. If we take the product of two exponentials with the same base, we simply add the exponents: xaxb = xa+b. (1) To see this rule, we just expand out what the exponents mean. Let's start out with a couple simple examples. 3432 = (3 × 3 × 3 × 3) × (3 × 3) = 3 × 3 × 3 × 3 × 3 × 3 = 36.
Free Exponents Calculator - Simplify exponential expressions using algebraic rules step-by-step.
Exponents. Laws of Exponents. How to simplify expressions using the laws of exponents. Table of contents. top. Practice. There are many different laws of exponents. This page covers the 3 most frequently studied formulas in Algebra I. If you are looking for other laws, visit our exponents home page. Video on the Laws of Exponents.
Rules, Formulas and Practice Problems. Basic Laws of Exponents. Negative Exponents. Subtract Exponents. Fraction Exponents. Exponential Equations with Fraction Exponents. Exponential Growth. Exponential Equations. Exponential Decay.
