How do you evaluate #5^3*2^3#?

1 Answer
Aug 17, 2016

#1000#

Explanation:

Let's use one of the laws of indices to make this calculation MUCH easier.

#(5^3 xx 2^3) = (5xx2)^3" both raised to same power"#

=#(10)^3 = 1000#

Or we could calculate the powers first, then the multiplication.

#5^3 xx 2^3#

=# 125 xx 8#

=#1000#