Answer :
Answer:
The value of [tex](10c^6d^{-5})(2c^{-5} d^4)[/tex] is [tex]20d^{-1}[/tex].
Step-by-step explanation:
In this problem, we need to evaluate [tex](10c^6d^{-5})(2c^{-5} d^4)[/tex]. Here, c and d are variable with exponents.
Taking both c together
[tex]=(10c^6{\cdot} 2c^{-5})\\\\=20(c^6{\cdot} c^{-5})\\\\=20c^{6-5}\\\\=20[/tex]
Taking both d together
[tex]=(d^{-5}{\cdot}d^4)\\\\=d^{-5+4}\\\\=d^{-1}[/tex]
So,
[tex](10c^6d^{-5})(2c^{-5} d^4)=20d^{-1}[/tex]
Hence, the value of [tex](10c^6d^{-5})(2c^{-5} d^4)[/tex] is [tex]20d^{-1}[/tex].