Question

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Answer 1

Answer:

Step-by-step explanation:

$(2^{3})^{3} = 2^{3*3}=2^{9}\\\\\\(\dfrac{4^{2}}{5^{3}})^{3} = \dfrac{(4^{2})^{3}}{(5^{3})^{3}}=\dfrac{4^{6}}{5^{9}}\\\\\dfrac{3^{6}}{3^{3}}=3^{6-3}=3^{3}\\\\\\a^{m}*a^{n}=a^{m+n}\\\\(a^{m})^{n}=a^{m*n}\\\\\dfrac{a^{m}}{a^{n}}=a^{m-n}$