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Mathematics

Evaluate:

[(103)0]5[(10^3)^0]^5

Exponents

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Answer

According to property of exponents,

a0=1a^0 = 1

[(103)0]5=[(10×10×10)0]5=[(1000)0]5=[1]5=[1×1×1×1×1]=1[(10^3)^0]^5\\[1em] = [(10 \times 10 \times 10)^0]^5\\[1em] = [(1000)^0]^5\\[1em] = [1]^5\\[1em] = [1 \times 1 \times 1 \times 1 \times 1]\\[1em] = 1

[(103)0]5=1[(10^3)^0]^5 = 1

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