Is $3^{0} = (1000)^{0}$ true or false? Justify your answer. [2 MARKS]

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Solution

Concept: 1 Mark
Answer: 1 Mark

Consider, $3^{0} = (1000)^{0}$

L.H.S. is $3^{0} = 1$ [ $∵ a^{0} = 1$ ]

and R.H.S. $(1000)^{0} = 1$ [ $∵ a^{0} = 1$ ]

$\Rightarrow$ L.H.S. = R.H.S.

$\Rightarrow 3^{0} = (1000)^{0}$ .

$∴$ It is true.
We should remember that any non-zero number raised to the power 0 is always equal to 1.

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