What is #4a^2 * 4a^3#?

1 Answer
Jim G.
Jun 11, 2016

#16a^5#

Explanation:

#4a^2•4a^3" means "4a^2xx4a^3#

Since these numbers are being multiplied together we can place them in any order.

That is #3xx5xx4=5xx4xx3=60#

so #4a^2xx4a^3=4xx4xxa^2xxa^3#

now #4xx4=16rArr16xxa^2xxa^3#

Using #color(blue)"rules of indices (exponents)"#

#•a^mxxa^n=a^(m+n)#

#rArra^2xxa^3=a^(2+3)=a^5#

#rArr4a^2xx4a^3=16a^5#

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