Write the denominator of the rational number 257 / 5000 in the form 2 raise to power m into 5 raise to power n where M and n are nonnegative

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Solution

Denominator of the rational number 257/ 5000 is 5000.
Now, 5000 = 2 × 2 × 2 × 5 × 5 × 5 × 5
= (2)^ 3 × (5)^ 4 , which is of the type 2𝑚 × 5𝑛 , (where m = 3 and n = 4 are non-negative integers.)

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Write the denominator of the rational number 257 / 5000 in the form 2 raise to power m into 5 raise to power n where M and n are nonnegative

Denominator of the rational number 257/ 5000 is 5000. Now, 5000 = 2 × 2 × 2 × 5 × 5 × 5 × 5 = (2)^ 3 × (5)^ 4 , which is of the type 2𝑚 × 5𝑛 , (where m = 3 and n = 4 are non-negative integers.)

Denominator of the rational number 257/ 5000 is 5000.
Now, 5000 = 2 × 2 × 2 × 5 × 5 × 5 × 5
= (2)^ 3 × (5)^ 4 , which is of the type 2𝑚 × 5𝑛 , (where m = 3 and n = 4 are non-negative integers.)