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).
23 x 3 x 5 = 120
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.
300
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.
It is: 22*52 = 100
As a product of its prime factors: 23*3*5 = 120
23 x 3 x 5 = 120
It is: 24*112 = 1936
48 = 24 x 3
15 = 31*51
5^2
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.
2^4 x 3^2
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.
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.
2 x 2 x 2 x 3 x 3 x 5
answer the question