Question

simplify and give the answer as product of prime numbers (15^4*18^3)/(3^3*5^2*12^2)

Answer 1

Step-by-step explanation:

(15⁴×18³)/ (3³×5²×12²)

=50625×5832/27×25×144

=2025×5832/27×144

=2025×216/144

=2025×1.5

=3037.5

Answer 2

Answer:

$\frac{5^{2}*3^{5} } {2}$

Step-by-step explanation:

$\frac{15^4*18^3}{3^3*5^2*12^2}$

= $\frac{5^4*3^4*3^3*3^3*2^3}{3^3*5^2*2^2*2^2*3^2}$

= $\frac{5^4*3^{4+3+3}*2^3}{5^2*3^{3+2}*2^{2+2}}$

= $\frac{5^4*3^{10}*2^3}{5^2*3^{5}*2^{4}}$

= $5^{4-2}*3^{10-5}*2^{3-4}$

= $5^{2}*3^{5}*2^{-1}$

= $\frac{5^{2}*3^{5} } {2}$