Question

Simplify:3^-5×10^-5×125/5^-7×6^-5​

Answer 1

SOLUTION:

3^-5 * 10^-5 * 125 / 5^-7 * 6^-5

= 3^-5 * (2*5)^-5 * 5^3 / 5^-7 * (2*3)^-5

= 3^-5 * 2^-5 * 5^-5 * 5^3 / 5^-7 * 2^-5 * 3^-5

= 3^-5/ 3^-5 * 2^-5/ 2^ -5. * 5^-5* 5^3/ 5^-7

= 3^( -5+5) * 2^( -5+5) * 5^(-5+3+7)

= 3^0.* 2^0 * 5^5

= 1 * 1 * 5^5

= 5^ 5

= 3,125

Therefore, the answer is 3,125.

I hope it helps you!