Verified Answer :

calculista

Answer:

\((4y^{6})^{3}-(10z^{2})^{3}\)

Step-by-step explanation:

we have

\(64y^{18}-1000z^{6}\)

we know that

\(64=4^{3}\)

\(y^{18}=(y^{6})^{3}\)

\(1000=10^{3}\)

\(z^{6}=(z^{2})^{3}\)

Substitute the values in the expression

\((4^{3})((y^{6})^{3})-(10^{3})((z^{2})^{3})\)

\((4y^{6})^{3}-(10z^{2})^{3}\)

Answer:

\((4y^6)^3-(10z^2)^3\)

Step-by-step explanation:

We have to find which expression is equivalent to

 \(64y^{18}-1000z^6\)

This can also be written as:

\(4^3(y^6)^3-10^3(z^2)^3\\\\=(4y^6)^3-(10z^2)^3\)

Hence, option first is correct

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