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In order to simplify a product’s power in \(2\) exponential expressions, one can utilize the power of a product rule of exponents. This separates the power of a product of factors into the product of the powers of the factors. For example, look at \((pq)^3\). You start via utilizing the associative and commutative properties of multiplication for regrouping the factors.
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Some division properties of exponents are:

• The Law of Quotients states that \(\frac{a^m}{a^n} \ = \ a^{m \ - \ n}\)
• The Power of a Quotient is defined as \((\frac{a}{b})^m \ = \ \frac{a^m}{b^m}\)

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While multiplying binomials, take note of the following steps:

• When you are multiplying binomials, always remember the exponents rule. Multiplication always leads to addition of exponent terms of the same variables.
• Next, you should always use the distributive property while multiplying ...

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To divide monomials, follow these steps:

• While dividing monomials, we must divide separately the coefficients and the variables.
• Next, for exponent values with the same base, we must subtract the exponents.
• Then, simplify the expression.

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To do addition or subtraction in a polynomial expression, apply the below-mentioned steps:

• First, simplify the expression by adding/subtracting the like terms. Also. Don’t forget to apply PEMDAS rule in case of brackets or parenthesis.
• Also, wherever possible, use the distributive property.

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Polynomials are said to be written in standard form whenever the terms are placed from the highest to the lowest degree. The polynomial’s degree is the degree of its highest degree term, so whenever they are written using standard form it’s simple to figure out the polynomial’s degree. 
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A perimeter is described as the sum of the length of each side. For instance, in a quadrilateral whose sides are \(9, \ 7, \ 5\) and \(11\), the perimeter is provided by: Perimeter \(= \ 9 \ + \ 7 \ + \ 5 \ + \ 11 \ = \ 32\)
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The area of a triangle is described as the whole area enclosed by the \(3\) sides of any particular triangle. Essentially, it’s equal to half of the \(base \times height\), i.e. \(A \ = \ \frac{1}{2} \times b \times h\).
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