How do you simplify (y^9)(2y^2)^3?

1 Answer
Mar 16, 2016

= 8y^ 15

Explanation:

(y^9)(2y^2)^3

  • As per property
    color(blue)((ab)^m = a^mb^m

= y^9 * color(blue)(2 ^3 y^( (2 *3) )

= y^9 * 8 * y^ 6

= 8y^9 y^ 6

  • As per property:
    color(blue)(a^m * a ^n = a ^(m+n)

Applying the above to powers of y
= 8y^ (9 +6)

= 8y^ 15