1a. Answer: [tex]\bold{\dfrac{6013}{1000}}[/tex]
Step-by-step explanation:
6.013 is 6 and 13 thousandths
[tex].\quad 6+\dfrac{13}{1000}\\\\\\=(6)\dfrac{1000}{1000}+\dfrac{13}{1000}\\\\\\=\dfrac{6000}{1000}+\dfrac{13}{1000}\\\\\\=\dfrac{6000+13}{1000}\\\\\\=\dfrac{6013}{1000}[/tex]
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1b. Answer: x
Step-by-step explanation:
[tex](\sqrt{x^3})^{\dfrac{2}{3}}\\\\\\\text{Convert the radical into an an exponential expression:}\\ \bigg(x^{\dfrac{3}{2}}\bigg)^{\dfrac{2}{3}}\\\\\\\text{Apply the power rule of exponents (multiply the exponents):}\\(x)^{\dfrac{3\cdot 2}{2\cdot 3}}\\\\\\\text{Simplify the exponents:}\\x^1[/tex]
