Can you let me know if I got the correct answer.

The question says the expression
(10w^3)^2/5w is equivalent to?

I got 20w^5 , Is this correct?
Thanks

Yes it is correct.

thank you :)

To verify if your answer is correct, let's simplify the expression step by step and compare it to your answer.

Starting with the given expression: (10w^3)^2 / (5w)

First, evaluate the exponent inside the parentheses: (10w^3)^2 becomes (10^2)(w^3)^2.
This simplifies to: 100w^6.

Next, divide the resulting expression by 5w: 100w^6 / (5w).

Now, simplify the division by dividing both the numerical coefficient (100) and the variable (w^6) separately:

100w^6 / 5w = (100/5) * (w^6 / w).
100/5 equals 20, and when dividing variables with exponents of the same base, subtract the exponents.
Thus, (w^6 / w) becomes w^(6-1) which simplifies to w^5.

Combining these simplifications, the final expression becomes: 20w^5.

Therefore, your answer of 20w^5 is indeed correct. Well done!