Question
P=5^2times 18^2 Write P as a product of its prime factors. Give your answer in index form. P=Theta square
Answer
4.3
(255 Votes)
Parker
Expert · Tutor for 3 years
Answer
P = 2^2 * 3^4 * 5^2
Explanation
The asked question is about prime factorization. To determine 'P' as a product of prime factors, we will first break down each number into prime factors and then write the product as a result. Step 1: Prime factorize 5 and 18.- 5 is a prime number its own only one prime factor is 5 itself.- Prime factors of 18 are 2 and 3, i.e., 18 = 2*3*3Step 2: Write the prime factors of 'P'.- As '5^2 * 18^2', it discusses prime factors and squares that are occurring twice.- So, write two-times prime factors of '5' and '18'.- Write 'P' as product of prime factors in index form.Step 3: In index number form, base is the number written firstly and exponent is the frequency/number of occurrences in product, which would give us the final result.