Question

9(в степени 1.5)-81(в степени 0.5)-(0.5)(в степени -2)

Answer 1

$9^{ \frac{3}{2}} -81^{ \frac{1}{2}} - 0.5^{-2} = 3^{3} - 9 -2^{2} = 27 - 9 - 4 = 14$

Answer 2

= (3^2)^1.5 - (3^4)^0.5 - (0.5)^-2 = 3^3 - 3^2 - 0.5^-2 = 18 - 1\2^-2 = 18 - 2^2 = 18 - 4 = 14

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Answer 3

To simplify the given expression, let's calculate each term separately:

1. 9 raised to the power of 1.5: 9^1.5 = √9 * √(9) = 3 * 3 = 9

2. 81 raised to the power of 0.5: 81^0.5 = √81 = 9

3. (0.5) raised to the power of -2: (0.5)^(-2) = 1 / (0.5)^2 = 1 / (0.25) = 4

Now, substitute the calculated values back into the expression:

9(в степени 1.5) - 81(в степени 0.5) - (0.5)(в степени -2) = 9 - 9 - 4 = 0 - 4 = -4

Therefore, the simplified value of the expression is -4.