Question

(5^-7 *5^10):5^4 (степени)

Answer 1

=5^-7+10-4=5^-1=1/5_______

Answer 2

((5^(-7)*5^10):5⁴=5^(-7+10)/5⁴=5³/5⁴=1/5

Answer 3

To simplify the expression (5^-7 * 5^10) / 5^4, you can apply the laws of exponents. When you have the same base raised to different exponents, you can combine them using the rule: a^m * a^n = a^(m + n).

So, in this case, for the numerator (5^-7 * 5^10):

5^(-7 + 10) = 5^3

Now, we have:

(5^3) / 5^4

To divide two terms with the same base, you can use the rule: a^m / a^n = a^(m - n).

So, in this case:

5^(3 - 4) = 5^(-1)

Therefore, the simplified expression is 5^(-1).

And since 5^(-1) is equal to 1/5:

(5^-7 * 5^10) / 5^4 = 1/5