Question

100 POINTS!!! Please help.

Answer 1

`(1)/(a^(20)c^2d^2e^(6))`

Explanation:

Given expression:

`(a^(10)b^(0)cde^(3))^(-2)`

`\textsf{Apply the exponent rule} \quad a^(-n)=(1)/(a^n):`

`\implies (1)/((a^(10)b^(0)cde^(3))^(2))`

`\textsf{Apply the exponent rule} \quad (a^b)^c=a^(bc):`

`\implies (1)/(a^((10 * 2))b^((0 * 2))c^2d^2e^((3 * 2)))`

Simplify:

`\implies (1)/(a^(20)b^(0)c^2d^2e^(6))`

`\textsf{Apply the exponent rule} \quad a^0=1:`

`\implies (1)/(a^(20)(1)c^2d^2e^(6))`

`\implies (1)/(a^(20)c^2d^2e^(6))`