Exponential Rules
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More Lessons for Grade 7 Math
Math Worksheets
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.
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)
You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
More Lessons for Grade 7 Math
Math Worksheets
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.
Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.
You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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