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Diffinition of product of powers property?

this is the property for when you multiply two or more exponents together hope this helps ya :) lol forev


When an exponent to a power is multiplied by an exponent is to a different power do you multiply the powers together?

No, you add the powers together.


What property can you use to multiply the expressions with exponents?

The Addition Property of Exponents. To multiply powers with the same base, add the exponents. e.g. 34 x 37 = 311, x2x3 = x5, and (3x2yz3)(2x5y2z) = 6x7y3z4.


When should you use the product of powers property?

The product of powers property should be used when multiplying two expressions that have the same base. According to this property, you add the exponents together while keeping the base unchanged, expressed mathematically as ( a^m \cdot a^n = a^{m+n} ). This property simplifies calculations and helps in expressing powers in a more manageable form. It is particularly useful in algebra and higher mathematics when dealing with exponential expressions.


When do add exponents?

when you multiply powers with the same base.


How can number patterns be used to multiply by powers of ten?

...


What are the seven rules for exponents?

Rules for exponents to multiply powers, add the exponents to divide powers, subtract the exponents to find a power of a power, multiply the exponents to find a power of a quotient, apply the power top and bottom to find a power pf a product, apply the exponent to each factor in the product x0 = 1 anything to the power zero equals one x-a = 1/xa a negative exponent means "one over" the positive exponent


What are three laws of exponents for multiplication?

I can think of two: - To multiply powers with the same base, add the exponents: (a^b)(a^c) = a^(b+c). - To find a power of a product, apply the exponent to each factor in the product: (ab)^c = (a^c)(b^c).


What is the definition of the multiply powers with the same base?

square root


The properties of a exponent?

There are many properties of exponents. I will cover those that are easiest to type up and then point you to a link that has some more. The basic properties are: Product of Powers If two monomials with the same base are multiplied together then you add the exponents.xmxn = xm+n or for example 3435 = 39 Powers of a Power If a power is raised to a power then you multiply the exponents (xm)n = xmn or for example (34)5 = 320 Powers of a Product If a product is raised to a power then you raise each factor to that power. (xmyn)p = xmpxnp or for example (2a2b3)2 = 22(a2)2(b3)2 = 4a4b6 Zero Property of Exponents Anything raised to the zero power equals one. x0 = 1 or for example (anything)0 = 1 The other two basic properties are the Negative Exponent Property and the Division Exponent Property. For more information on those(they are hard to type because of the fractions) and video examples of the other properties go to http://www.squidoo.com/exponents1


Which property is used to simplify -m m?

The property used to simplify (-m \cdot m) is the property of exponents, specifically the product of powers rule. According to this rule, when multiplying the same base, you add the exponents. In this case, (-m \cdot m) simplifies to (-m^2), as the negative sign remains and the bases combine.


What is 120 as a product of powers of its prime factor?

120 = 2 * 2 * 2 * 3 * 5 Written as a product of powers is (2^3) * 3 * 5