Question 3(iv)
Say true or false and justify your answer:
(iv) $3^{0} = (1000)^{0}$

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Solution

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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3^{0} = (1000)^{0}

Say true or false and justify your answer:

(i) 10 × 10¹¹ = 100¹¹ (ii) 2³ > 5²

(iii) 2³ × 3² = 6⁵(iv) 3⁰ = (1000)⁰

2^{3} > 5^{2}

3^{0} = (1000)^{0}

2^{3} \times 3^{2} = 6^{5}

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