Question

Which expression is equivalent to the given question?

(10c^6d^-5)(2c^-5d^4)

A. 20c/d

B. 20cd

C. 20/c^30d^20

D. 20c^30d^20

Answer 1

20c/d

Explanation:

Answer 2

`(10c^6d^(-5))* (2c^(-5)d^4)`=
`(20c)/(d)`

Explanation:

The given expression is :

`(10c^6d^(-5))* (2c^(-5)d^4)`

We need to find the equivalent expression for the given expression

We know that,
`x^ax^b=x^(a+b)`

⇒
`c^6c^(-5)=c^(6-5)=c\\\\d^(-5)d^4=d^(-5+4)=(1)/(d)`

So,

`(10c^6d^(-5))* (2c^(-5)d^4)=20* c* (1)/(d)\\\\=(20c)/(d)`

Hence, the correct option is (a) i.e.
`(20c)/(d)`.