Question

Multiply.
(y^8)(-2y^2)

Answer 1

`=-2y^(10)`

Explanation:

`\left(y^8\right)\left(-2y^2\right)\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=-y^8\cdot \:2y^2\\\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^(b+c)\\y^8y^2=\:y^(8+2)\\=-2y^(8+2)\\\mathrm{Add\:the\:numbers:}\:8+2=10\\\ =-2y^(10)`