Answer:
2^3·3^-3·5^4
Step-by-step explanation:
We assume you have ...
[tex]\dfrac{(10^3)(30^4)}{(6^4)(15^3)}=\left(\dfrac{10}{15}\right)^3\cdot\left(\dfrac{30}{6}\right)^4=\left(\dfrac{2}{3}\right)^3(5^4)\\\\=(2^3)(3^{-3})(5^4)[/tex]
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The applicable rules of exponents are ...
a^-b = 1/a^b
(ab)^c = (a^c)(b^c)
