Question

If a²bc^3 = 5^3 and ab^2 = 5^6 then abc is equal to:​

Answer 1

Answer:

Given that

$a^{2} bc ^{3} = {5}^{3}$

$ab^{2} = {5}^{6}$

When we multiply both of them we get

${a}^{3} b^{3} c^{3} = {5}^{9}$

=> On taking cube root on both sides we get

${(abc)}^{ \frac{3}{3} } = 5^ { \frac{9}{3} } = {5}^{3}$

=> we get abc is equal to 125.