22*52
Chat with our AI personalities
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.
Index notation for 125 = 1.25 × 102
2 x 3 x 5^2
The index notation of 2x2x3x3x5 is 2^2 * 3^2 * 5. This can also be written as 2^2 * 3^2 * 5^1, where the numbers represent the base and the exponents represent the number of times each base is multiplied by itself. In this case, 2 is multiplied by itself twice, 3 is multiplied by itself twice, and 5 is multiplied by itself once.
The expression 4x4x4x4x4 can be written in index notation as 4^5, where the base is 4 and the exponent is 5. When you raise a number to an exponent, it means multiplying the base by itself the number of times indicated by the exponent. Therefore, 4^5 is equal to 1024.