How do you multiply #(r s t ) ( s ^ { 2} t ^ { 3} ) #?

1 Answer
seol
Sep 8, 2017

#rs^3t^4#

Explanation:

#(rst)(s^2t^3)#

Same-Base Exponential Multiplication Rule:
If you multiply two terms that have the same base, then you add the exponents.
Example: #x^2\cdotx^3=x^(2+3)#

Let's group this multiplication by like terms.
#rxx(s\cdot s^2)xx(t\cdott^3)#

Solve using previous rule:
#rxx(s^(1+2))xx(t^(1+3))#
#rxx(s^3)xx(t^4)#
#rs^3t^4#

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