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When multiplying numbers with the same base and different or same exponents, the product is the base to the power of the sum of the exponents of the multiplicands.

Examples:

52 x 57 x 510 = 519

n x n4 = n5

75 ÷ 72 = 75 x 7-2 = 73

22 x √2 = 22 x 20.5 = 22.5

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Q: Is there a relationship between the exponents of the base and the exponent of the product?
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What is the relationship between the exponents of the base and the exponent of the product?

when two numbers are multiplied together that are exponents you multiply the bases amd add the exponents the relationship would simply be that the product exponents are the sum of the exponents being multiplied in the question


Do you see a relationship between the exponents of the base and the exponent of the product?

The exponent of the base is a step to solve the problems now the exponent of the product will also adjust a step to solve the equation but it contains more cooperative need.


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 is 1584 in prime factorization with exponent?

As a product of its prime factors in exponents: 24*32*11 = 1584


How can exponents make it easier to write an expression with a repeated factor in the product?

how can exponent can make it easier to write an expression with a repeated factor in the product


Can monomials have negative exponents?

Monomials can have negative exponents, if the term for the exponent is not a variable, but if it is a variable with a negative exponent, the whole expression will not be classified. This is so because the definition of a monomial states that, a monomial can be a product of a number and one or more variables with positive integer exponents. I hope that answered your question!


How do you express 800 as an exponent?

As a product of its prime factors in exponents: 25*52 = 800 Or as: 8.0*102 in scientific notation


What is the exponent of 1 800?

As a product of its prime factors in exponents: 23*32*52 = 1800 Or expressed in scientific notation: 1.8*103


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 highest exponent in the prime factorization of 1 008?

As a product of its prime factors in exponents: 2^4 times 3^2 times 7 = 1008


What is the exponent to 1000000?

As a product of its prime factors in exponents: 2^6 times 5^6 = 1,000,000 As in terms of scientific notation it is: 1.0*10^6


What is x2 times x3?

If x2 and x3 are meant to represent x2 and x3, then x2 times x3 = x5 You find the product of exponent variables by adding the exponents.