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The exponent rules, which are often referred to as the laws of exponents, are a set of mathematical rules for simplifying expressions involving exponents. The chart shown in Figure 02 below highlights the six most important exponent rules: The Zero Exponent Rule: a⁰=1. The Product Rule: a^b x a^c = a^ (b+c)
Reiterate the concept of finding the value of the missing variable using exponent rules with these printable worksheets. Apply the law of exponents and solve for the variable x in section A; apply the law and solve for the variables x and y in section B. Download the set
Laws of Exponents. 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:
There are six sets of law of exponents worksheets: Product Rule; Quotient Rule; Power Rule; Negative Exponents; Fractional exponents; Laws of Exponents; Examples, solutions, videos, and worksheets to help Grade 7 and Grade 8 students learn how to use the law of exponents.
Law – When multiplying two exponents with the same base, you add the exponents. Formula – a m x a n = a m + n. Example – 3 2 x 3 4 = 3 2 + 4 = 3 6. Explanation – Since the base is the same (3), you add the exponents (2 and 4) to get a single exponent of 6.
This worksheet explains how to solve problems containing multiple exponents. A sample problem is solved and two practice problems are provided. Ten multiplication and division problems are provided. Students must use the laws of exponents to solve the problems.
There are many different laws of exponents. This page covers the 3 most frequently studied laws of exponents (Rules 1-3 below). Rule 1: xa ⋅ xb = xa+b Example : 34 ⋅ 32 = 34+2 34 ⋅ 32 = 36 x a ⋅ x b = x a + b Example : 3 4 ⋅ 3 2 = 3 4 + 2 3 4 ⋅ 3 2 = 3 6.
