How do you find the product #(5r^3)(4r^4)#?

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Answer 1 · 2018-07-30T18:15:26

#20r^7#

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

#•color(white)(x)a^mxxa^n=a^((m+n))#

#5r^3xx4r^4#

#=(5xx4)xxr^((3+4))=20r^7#

Answer 2 · 2018-07-30T19:14:58

#20r^7#

We can rewrite this as

#5*4*r^3*r^4#

This simplifies to

#20*color(blue)(r^3*r^4)#

When we have the same base (#r#), we can just add the exponents. This simplifies to

#20color(blue)(r^7)#

Hope this helps!