Home
/
Math
/
P=5^2times 18^2 Write P as a product of its prime factors. Give your answer in index form. P=Theta square

Question

P=5^2times 18^2
 Write P as a product of its prime factors.
 Give your answer in index form.
 P=Theta 
 square

P=5^2times 18^2 Write P as a product of its prime factors. Give your answer in index form. P=Theta square

expert verifiedVerification of experts

Answer

4.3255 Voting
avatar
ParkerExpert · Tutor for 3 years

Answer

<p> P = 2^2 * 3^4 * 5^2</p>

Explain

<p> 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. <br /><br />Step 1: Prime factorize 5 and 18.<br />- 5 is a prime number its own only one prime factor is 5 itself.<br />- Prime factors of 18 are 2 and 3, i.e., 18 = 2*3*3<br /><br />Step 2: Write the prime factors of 'P'.<br />- As '5^2 * 18^2', it discusses prime factors and squares that are occurring twice.<br />- So, write two-times prime factors of '5' and '18'.<br />- Write 'P' as product of prime factors in index form.<br /><br />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.<br /><br /></p>
Click to rate:

Hot Questions

More x