Question

Which expression is equivalent to 64y18 – 1000z6?

Answer 1

Answer:

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

Step-by-step explanation:

Given: $64y^{18}- 1000z^6$

Solution:

Option 1) $(4y^6)^3 - (10z^2)^3$

$64y^{18} - 1000z^6$

So, Option 1 is equivalent to $64y^{18}- 1000z^6$

Option 2)$(16y^6)^3 -(10z^2)^3$

$4096y^{18} -1000z^6$

So, Option 2 is not equivalent to $64y^{18}- 1000z^6$

Option 3)$(16y^6)^3 -(100z^2)^3$

$4096y^{18} -1000000z^6$

So, Option 3 is not equivalent to $64y^{18}- 1000z^6$

Option 4)$(4y^6)^3 -(100z^2)^3$

$64y^{18} -1000000z^6$

So, Option 4 is not equivalent to $64y^{18}- 1000z^6$

Hence $(4y^6)^3 - (10z^2)^3$ is equivalent to $64y^{18}- 1000z^6$

So, Option A is correct.

Answer 2

(16y6)3 - (10z2)3 I think is the right answer