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Exponent Laws Worksheet Grade 11 with questions and answers

Exponent Laws Worksheet Grade 11 with questions and answers  We explore exponent laws on this page and offer a worksheet with questions and solutions for grade 11 students.

Numbers called exponents, also referred to as powers, show how many times a base number can be multiplied by itself. For instance, you are instructed to multiply four by itself three times by the number 43. The exponent or power is the superscript number above the base, which is the number being raised by a power.

For example, 5³ = 5 × 5 × 5 = 125; the equation is written as “five to the power of three.” The power of two is also known as “squared,” whereas the power of three is known as “cubed.” When calculating the area or volume of various forms, these words are frequently employed.

Seven Laws of Exponents

1. Multiplying Powers with same Base.
2. Dividing Powers with the same Base.
3. Power of a Power.
4. Multiplying Powers with the same Exponents.
5. Negative Exponents.
6. Power with Exponent Zero.
7. Fractional Exponent.

Exponent laws with Examples

Exponent laws are a set of rules that govern the manipulation of exponents in mathematical expressions. The four main exponent laws are:

1. Product of Powers Law: (a^m)(a^n) = a^(m+n) For example: (2^3)(2^4) = 2^7 = 128
2. Quotient of Powers Law: (a^m) / (a^n) = a^(m-n) For example: (8^3) / (8^2) = 8^(3-2) = 8^1 = 8
3. Power of a Power Law: (a^m)^n = a^(mn) For example: (2^3)^2 = 2^(32) = 2^6 = 64
4. Power of a Product Law: (ab)^n = a^n * b^n For example: (56)^2 = 5^2 * 6^2 = 2536 = 900

It’s important to note that these laws only apply when the bases (the a’s in the examples above) are the same. Also, it’s important to use the correct order of operations when using these laws, to avoid errors.

Exponent Laws Video Lesson

Exponent Laws Worksheets for Grade 11

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