Question

Which expression is equivalent to 64y18 – 1000z6?

Answer 1

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

Answer 2

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

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

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