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How do i write a 360 as a product of prime factors give your answer's in index notation?
To write 360 as a product of prime factors, first, perform its prime factorization. Start by dividing 360 by the smallest Prime number, 2: (360 ÷ 2 = 180), (180 ÷ 2 = 90), (90 ÷ 2 = 45). Next, divide 45 by the next smallest prime number, 3: (45 ÷ 3 = 15), (15 ÷ 3 = 5). Finally, 5 is a prime number itself. Thus, the prime factorization of 360 is (2^3 \times 3^2 \times 5^1).
What else can I help you with?
How do write a number example 120 as a product of their prime factors and give answers in index notation?
23 x 3 x 5 = 120
What is product notation?
Product notation is a mathematical notation used to represent the product of a sequence of factors. It is typically denoted by the symbol ( \prod ), followed by an index that indicates the starting and ending values of the sequence. For example, ( \prod_{i=1}^{n} a_i ) signifies the product of all terms ( a_i ) from ( i = 1 ) to ( n ). This notation simplifies the expression of products, especially when dealing with large sequences or when defining mathematical formulas.
How do you change numbers into index notation?
To change numbers into index notation, express the number as a product of its prime factors. For each prime factor, write it in the form of a base raised to an exponent, where the exponent indicates how many times that prime factor is used. For example, the number 60 can be factored into primes as (2^2 \times 3^1 \times 5^1). This notation clearly shows the composition of the number using its prime factors.
What is 56 as a product for its prime factors in index form?
300
What is the products of 16 in index notation?
The product of 16 in index notation can be expressed as (2^4) since (16) is equal to (2 \times 2 \times 2 \times 2). Alternatively, it can also be represented as (4^2) because (16) is equal to (4 \times 4). Both forms accurately represent the number 16 using index notation.
How do write a number for example 120 as a product of its prime factors and give answers in index notation?
As a product of its prime factors: 23*3*5 = 120
How do write a number example 120 as a product of their prime factors and give answers in index notation?
23 x 3 x 5 = 120
Express 1936 as a product of prime factors in index notation?
It is: 24*112 = 1936
How do you write 48 as a product of its prime factors in index notation?
48 = 24 x 3
How do you use index notation to write 15 as a product of its prime factors?
15 = 31*51
What is 25 as a product of its prime factors using index notation?
5^2
What is the index notation of 294?
The index notation of 294 is 2 x 3^5, where 2 is the base and 5 is the exponent. This means that 294 can be expressed as the product of 2 and 3 raised to the power of 5. In index notation, the number is broken down into its prime factors and expressed as a product of primes with corresponding exponents.
What is 144 as a product of its prime factors using index notation?
2^4 x 3^2
What is 96 as a product of its prime factors using index notation?
Oh, that's a happy little question! Let's break it down gently. To express 96 as a product of its prime factors using index notation, we first find the prime factors of 96, which are 2 x 2 x 2 x 2 x 2 x 3. Then, we can write this as 2^5 x 3. And just like that, we've created a beautiful representation of 96 using its prime factors and index notation.
What is product notation?
Product notation is a mathematical notation used to represent the product of a sequence of factors. It is typically denoted by the symbol ( \prod ), followed by an index that indicates the starting and ending values of the sequence. For example, ( \prod_{i=1}^{n} a_i ) signifies the product of all terms ( a_i ) from ( i = 1 ) to ( n ). This notation simplifies the expression of products, especially when dealing with large sequences or when defining mathematical formulas.
express 360 as a product of prime factors in index notation?
2 x 2 x 2 x 3 x 3 x 5
Can you write 9 as a product of primes use index notation where appropriate?
answer the question
