2 x 2 x 2 x 3 x 3 x 5
It is: 24*112 = 1936
5^2
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.
48 = 24 x 3
15 = 31*51
As a product of its prime factors: 23*3*5 = 120
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.
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.
2^4 x 3^2
2^4 x 3 x 5
81 is 3 to the power 4.
120 = 23 x 3 x 5