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
It is: 22*52 = 100
The prime factors are: 2 x 2 x 2 x 2 x 2 x 3 Or in index notation 96 = 2^5 x 3
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.
2 x 2 x 2 x 3 x 3 x 5
answer the question
81 is 3 to the power 4.