Express (50*10^3)^3 as a product of two prime numbers - Maths - Exponents

Question

Express (50*10^3)^3 as a product of two prime numbers

Shruti Tyagi · Accepted Answer

Dear Student,

50×1033we need to break these numbers into prime factor form
factors of 50= 2×5×5=2×52factors of 10=2×5hence 50×1033=2×52×2×533=2×52×23×533using xa×xb=xa+b=21+3×52+33=24×553using  xab=xab⇒24×3×55×3=212×515hence 50×1033 as the product of two prime numbers =212×515
Regards,

Express (50*10^3)^3 as a product of two prime numbers.