What values for #a# and #b# would make the equation #(ax^3)(3x^b) = 21x^4# true?

1 Answer
Jim G.
Apr 24, 2018

#a=7" and "b=1#

Explanation:

#"using the "color(blue)"law of exponents"#

#•color(white)(x)a^nxxa^mhArra^((m+n))#

#"consider the left side expanded"#

#(ax^3)(3x^b)#

#=axx x^3xx3xxx^b#

#=3axxx^((3+b))#

#"for "3axx x^((3+b))" to equal "21x^4#

#"we require "3a=21rArra=7#

#"and "3+b=4rArrb=1#

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