The index form of 4x4x7x7x7 is 4^2 x 7^3. This is because 4 is raised to the power of 2 (since there are two occurrences of 4) and 7 is raised to the power of 3 (since there are three occurrences of 7). So, the index form simplifies the expression by showing the bases and their respective exponents.
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648 expressed as a product of its prime factors in index form is 2^3 times 3^4
To express 63 as a product of prime factors in index form, we first need to find the prime factors of 63. 63 can be factored as 3 x 3 x 7. This can be written in index form as 3^2 x 7. Therefore, 63 as a product of prime factors in index form is 3^2 x 7.
Oh, dude, index form in math is just a fancy way of saying exponential form. So, if you see "536" in index form, it means 5 to the power of 36. It's like math's way of saying, "Hey, let's make this number look cooler and more confusing!"
32 x 19