In mathematics, there are multiple rules to find the product of exponents. These rules involve repeat multiplication techniques to solve various product problems based on exponent. In addition to the exponent rules, some exponent laws also help simplify the exponent product process. Therefore, the exponent product rule worksheet is the best way to teach various exponent product concepts to students.
Laws of Exponents:
px * py = px+y
(px)y = pxy
p0 = 1
Product of exponent expressions with the identical base but with distinct powers:
Product of two exponent expressions having the same base and distinct powers results into the common base with the total of those powers.
px * py = px+y.
For example, 23 * 22 = (2)3+2 = 25 = 2 * 2 * 2* 2 * 2* 2 = 32 and 51× 52 = 51+2 = 53 = 5 * 5 * 5 = 125.
This product rule applies to exponents with negative bases or powers and fractional exponents.
Product of exponent expressions with distinct bases but the same powers:
px * qx = (p * q)x, here p and q are non-zero numbers.
For example, 22 * 32 = (2 * 3)2+2 = 64 = 6 * 6 * 6 * 6 = 1296.
This product rule applies to exponents with negative bases or powers and fractional exponents.
Students can easily learn exponents with this worksheet and analyze their learnings with exponents product and quotient rule worksheet answers.
This worksheet will also help them to revise various concepts of exponents and powers to solve problems.
Download these class 8 Intro to Product Rule worksheets PDF for your students. You can also try our Intro To Product Rule Problems and Intro To Product Rule Quiz as well for a better understanding of the concepts.
Laws of Exponents:
px * py = px+y
(px)y = pxy
p0 = 1
Product of exponent expressions with the identical base but with distinct powers:
Product of two exponent expressions having the same base and distinct powers results into the common base with the total of those powers.
px * py = px+y.
For example, 23 * 22 = (2)3+2 = 25 = 2 * 2 * 2* 2 * 2* 2 = 32 and 51× 52 = 51+2 = 53 = 5 * 5 * 5 = 125.
This product rule applies to exponents with negative bases or powers and fractional exponents.
Product of exponent expressions with distinct bases but the same powers:
px * qx = (p * q)x, here p and q are non-zero numbers.
For example, 22 * 32 = (2 * 3)2+2 = 64 = 6 * 6 * 6 * 6 = 1296.
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