Question

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

Answer 1

The value of
`(10c^6d^(-5))(2c^(-5) d^4)` is
`20d^(-1)`.

Explanation:

In this problem, we need to evaluate
`(10c^6d^(-5))(2c^(-5) d^4)`. Here, c and d are variable with exponents.

Taking both c together

`=(10c^6{\cdot} 2c^(-5))\\\\=20(c^6{\cdot} c^(-5))\\\\=20c^(6-5)\\\\=20`

Taking both d together

`=(d^(-5){\cdot}d^4)\\\\=d^(-5+4)\\\\=d^(-1)`

So,

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

Hence, the value of
`(10c^6d^(-5))(2c^(-5) d^4)` is
`20d^(-1)`.