Question

Which expression is equivalent to the given question?

Answer 1

Answer:

$(10c^6d^{-5})\times (2c^{-5}d^4)$=$\dfrac{20c}{d}$

Step-by-step explanation:

The given expression is :

$(10c^6d^{-5})\times (2c^{-5}d^4)$

We need to find the equivalent expression for the given expression

We know that, $x^ax^b=x^{a+b}$

⇒$c^6c^{-5}=c^{6-5}=c\\\\d^{-5}d^4=d^{-5+4}=\dfrac{1}{d}$

So,

$(10c^6d^{-5})\times (2c^{-5}d^4)=20\times c\times \dfrac{1}{d}\\\\=\dfrac{20c}{d}$

Hence, the correct option is (a) i.e. $\dfrac{20c}{d}$.