Question

Simplify fully
a) 8c²d^5 ÷ 2c³d³
b) 9a³b^5 ÷ 3ab²

Answer 1

A) 8d^2/3c

B) 3a^2b^3

Explanation:

Answer 2

Explanation:

In exponent division, if base are same , subtract the exponents.

`(a^(m))/(a^(n))=a^(m-n) , m>n\\\\ (a^(m))/(a^(n))= (1)/(a^(n-m)), m<n`

a) 8c²d⁵ ÷ 2c³d³ =
`(8)/(2)* (d^(5-3))/(c^(3-2))= 4*(d^(2))/(c)= (4d^(2))/(c)`

b) 9a³b⁵ ÷ 3ab² =
`(9)/(3)* a^(3-1)*b^(5-2) = 3a^(2)b^(3)`