Question

Express the prime factorisation of the following numbers in exponential form. (a) -32/245​

Answer 1

Step-by-step explanation:

Write the unique factors by writing the exponents only up until the zeros start repeating. So 100 = 2 x 2 x 5 x 5

the unique factorizations are usually written as 100 = 2^2 x 5^2

Another example is 2 × 2 × 3 × 5 × 3 × 3 = 540.

To write this in exponential form, I just re-order it to group the prime numbers together:

2 × 2 × 3 × 3 × 3 × 5

And then count the number of times each factor appears:

22 × 33 × 51.

Usually, when an exponent is 1, we don’t write it because it is assumed, so our final answer is:

22 × 33 × 5.

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Answer 2

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