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9514 1404 393
Answer:
125y^9 mm^2/s
Step-by-step explanation:
The relevant properties of exponents are ...
(ab)^c = (a^c)(b^c)
(a^b)^c = a^(bc)
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Using these properties, your expression can be simplified to ...
[tex](5y^3)^3\,\dfrac{\text{mm}}{\text{s}}=(5^3)(y^3)^3\,\dfrac{\text{mm}}{\text{s}}=125y^{3\cdot3}\,\dfrac{\text{mm}}{\text{s}}=\boxed{125y^9\,\dfrac{\text{mm}}{\text{s}}}[/tex]