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!

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