Question

Simplify in positive numbers: (-10)^6*(-10)^-6

Answer 1

The expression (-10)^6*(-10)^-6 simplifies to 1. When multiplying with the same base, add the exponents, and any non-zero number to the power of 0 equals 1.

Step-by-step explanation:

To simplify the expression (-10)^6*(-10)^-6, you should understand the rules of exponents.

Specifically, when you multiply numbers with the same base, you add the exponents. In this case, (-10) is the base and 6 and -6 are the exponents.

Now, let's simplify the expression step by step:

1. Add the exponents: 6 + (-6) = 0.
2. Apply the sum of the exponents to the base: (-10)^0.
3. Any non-zero number to the power of 0 is 1, so the simplified result is 1.

Therefore, (-10)^6*(-10)^-6 simplifies to 1, which is a positive number.