Question

Сократить дробь 25^3/125^2

Answer 1

=5^6/5^6=1
все вроде

Answer 2

To simplify the fraction $\frac{25^3}{125^2}$, you can cancel out common factors in the numerator and denominator. Both 25 and 125 are multiples of 5, so we can simplify the fraction as follows:

$\frac{25^3}{125^2} = \frac{(5^2)^3}{(5^3)^2}$

Now, apply the rule $(a^m)^n = a^{m \cdot n}$:

$\frac{(5^2)^3}{(5^3)^2} = \frac{5^{2 \cdot 3}}{5^{3 \cdot 2}}$

Multiply the exponents:

$\frac{5^6}{5^6}$

Now, when the bases are the same and the exponents are equal, the result is 1:

$\frac{5^6}{5^6} = 1$

So, the simplified fraction is 1.