Exponential Rules

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Examples, solutions, videos, worksheets, stories and songs to help Grade 7 students learn about exponential rules.

In this lesson, we will learn five exponential rules and how to apply them.

Some of the rules of exponent are:
Product Rule: when we multiply two powers that have the same base, add the exponents. 32 × 35 = 37

Power Rule: when we raise a power to a power, multiply the exponents. (32)5 = 310

Quotient Rule: when we divide two powers with the same base, we subtract the exponents.  36 ÷ 32 = 34

Zero Rule: any nonzero number raised to the power of zero equals 1. 540 = 1

Negative Rule: any nonzero number raised to a negative power equals its reciprocal raised to the opposite positive power.

The following diagram shows the exponential rules for product rule, power rule, quotient rule, zero rule, and negative rule. Scroll down the page for more examples and solutions for the exponential rules.
Exponential Rules

Some basic exponential rules

Some law of exponents

Guidelines and rules to using when performing mathematical operations with exponents

Algebra - Exponents and the Laws of Exponents (Powers)

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