Question

Has the rational number $\frac{441}{ 2^2.5^7.7^2}$ a terminating or a non terminating decimal representation?

Answer 1

We know that a decimal can be terminating only if when it's fractional form has the denominator of the form
${2}^{x} \times {5}^{y}$
But here it is in the form of
${2}^{2} \times {5}^{7} \times {7}^{2}$
Hence it will be a non-terminating decimal