Question

5^-5*5^-2 дробь 5^-6

Answer 1

$\frac{5 {}^{ - 5} \times 5 {}^{ - 2} }{ 5 {}^{ - 6} } = 0.2$

Answer 2

To simplify the expression, let's use the properties of exponents:

1. When you multiply two numbers with the same base, you add the exponents.
2. When you divide two numbers with the same base, you subtract the exponents.

The given expression is: (5^(-5) * 5^(-2)) / 5^(-6)

Now, apply the exponent properties:

1. 5^(-5) * 5^(-2) = 5^(-5 - 2) = 5^(-7)

2. (5^(-5) * 5^(-2)) / 5^(-6) = 5^(-7) / 5^(-6) = 5^(-7 + 6) = 5^(-1)

Therefore, the simplified form of the expression is 5^(-1), which is equal to 1/5.