Question

Which expression is equivalent to 64y18 – 1000z6?

(4y6)3 – (10z2)3
(16y6)3 – (10z2)3
(16y6)3 – (100z2)3
(4y6)3 – (100z2)3

Answer 1

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

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

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

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)`