Answer:
To evaluate the expression 9.9^2 * 3.3^-2 using the laws of exponents, you can apply the following rules:
When you have a positive exponent, it means you multiply the base by itself that many times.
When you have a negative exponent, it means you take the reciprocal (1 divided by the base) and raise it to the positive exponent.
Let's break it down step by step:
9.9^2 means 9.9 * 9.9 because the exponent 2 indicates you multiply 9.9 by itself twice:
9.9^2 = 9.9 * 9.9 = 98.01
3.3^-2 means taking the reciprocal of 3.3 (1/3.3) and raising it to the positive exponent 2:
3.3^-2 = (1/3.3)^2 = (1/3.3)(1/3.3) = 1/10.89 ≈ 0.0917 (rounded to four decimal places)
Now, you can multiply the two results together:
98.01 * 0.0917 ≈ 8.998917
So, 9.9^2 * 3.3^-2 is approximately equal to 8.998917 when rounded to four decimal places.
Explanation:
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