8th Grade Math Exponents

Important points of the Exponents

• An exponent of a number shows how many times we are multiplying a number by itself.
• How to calculate exponents using different exponent laws.
• Exponent is also known as the power of a number. It can be a whole number, fraction, negative number, or decimals.
• A negative exponent tells us how many times we have to multiply the reciprocal of the base. For example, if it is given that a^-n, it can be expanded as 1/aⁿ.
• If an exponent of a number is a fraction, it is known as a fractional exponent. Square roots, cube roots, and n^th roots are parts of fractional exponents.
• If an exponent of a number is given in the decimal form, it is known as a decimal exponent. It is slightly difficult to evaluate the correct answer of any decimal exponent so we find the approximate answer for such cases.

Exponents Example

1. Simplify the expression (5² * 5³) + (2³ * 2² ) using product rules. 

Solution:  (5² * 5³) + (2³ * 2² ) (5)²⁺³ + (2)³⁺² = 5⁵ + 2⁵ = (5 * 5 * 5 * 5 * 5 * 5) + (2 * 2 * 2* 2 * 2* 2) = 3125 + 32 = 3157. 

1. Simplify, 2² * 5² 

(2 * 5)²⁺² = 10⁴ = 10 * 10 * 10 * 10 = 10000. 

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Sum Up

Excellent understanding of exponent concepts  helps students to easily simplifying the exponential equation.