Answer:
[tex]-8a^8y^6[/tex]
Step-by-step explanation:
Given:
[tex](-2a^7y^4)(4ay^2)[/tex]
"Simplifying"
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[tex](-2a^7y^4)(4ay^2)[/tex]
Remove the parenthesis
[tex]-2a^7y^4\cdot \:4ay^2[/tex]
Multiply the numbers
[tex]-8a^7ay^4y^2[/tex]
Apply the exponent rule
[tex]-8y^4a^{7+1}y^2[/tex]
Add the numbers
[tex]-8y^4a^8y^2[/tex]
Apply the exponent rule once again
[tex]-8a^8y^{4+2}[/tex]
Add the numbers once again
[tex]-8a^8y^6[/tex]