Question

what should be the value of x if
$1000 \div 2 {}^{2} \times 3 {}^{x} \times 5 {}^{2}$
is a terminating decimal ​

Answer 1

Answer.

Since, for any rational number p/q, q is of the form 2ᵐ × 5ⁿ , so the value of x must be 0.

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Answer 2

hey

The value of x should be 0

because

there should not be 3 in denominator

a^0 = 1

thus 3^0 = 1

and then it becomes a terminating decimal