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Waht is the value of ((2/3)^0)^-3​

1 Answer

1 vote

Answer:


\left(\left((2)/(3)\right)^0\right)^(-3)=1

Explanation:


\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^(bc),\:\quad \:a\ge 0\\\left(\left((2)/(3)\right)^0\right)^(-3)=\left((2)/(3)\right)^(0\cdot \left(-3\right))\\=\left((2)/(3)\right)^0\\=1

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