How do you multiply #5a^2 * 6a^4#?

1 Answer
Don't Memorise
May 4, 2016

# = 30 a^6#

Explanation:

#color(blue)(5) color(green)(a^2 ) * color(blue)( 6) color(green)(a^4#

# = color(blue)(5 * 6) * color(green)( a^2 * a^4#

# = 30 * color(green)( a^2 * a^4#

  • as per property:
    #color(green)(a^m * a^n = a^(m+n)#
    Applying the above to #a#

# = 30 * color(green)( a^((2 + 4))#

# = 30 * color(green)( a^6#

# = 30 a^6#

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