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.
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.
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.
The prime factors of 100 are: 2 * 2 * 5 * 5
Ah, isn't that a happy little question! The factor of 28 in index notation is 2^2 * 7. See how we can break down 28 into its prime factors of 2 and 7, and then write it in index notation for a clear and beautiful representation.
2 x 2 x 2 x 3 x 3 x 5
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 factors of 216 in index notation can be expressed as 2^3 * 3^3. This is because 216 can be broken down into its prime factors as 2 * 2 * 2 * 3 * 3 * 3, which simplifies to 2^3 * 3^3. In index notation, this represents the factors of 216 as 2 raised to the power of 3 multiplied by 3 raised to the power of 3.
It is: 4.2*10^2 when in scientific notation
The prime factors are: 2 x 2 x 2 x 2 x 2 x 3 Or in index notation 96 = 2^5 x 3