Question

Which expression is equivalent to (10−2 • 45)−2?

1. ten raised to the fourth power divided by four raised to the tenth power)
2. negative ten raised to the fourth power divided by four raised to the tenth power)
3. four raised to the third power divided by ten raised to the fourth power)
4. negative four raised to the third power divided by ten raised to the fourth power)

Answer 1

The expression (10−2 • 45)−2 is equivalent to 1.97530864197.

Step-by-step explanation:

To simplify the expression (10−2 • 45)−2, we first evaluate the expression inside the parentheses. 10−2 is equivalent to 1/(10^2) which is equal to 1/100. Multiplying 1/100 by 45 gives us 45/100 or 0.45.

Next, we raise 0.45 to the power of -2, which means we divide 1 by 0.45 squared.

Performing the calculation, we find that (10−2 • 45)−2 is equivalent to 1.97530864197.