Question

(-2)(-3)^17-(-3)^16/(3^2)^7*3*5

Answer 1

$\frac{(-2)*(-3)^{17}-(-3)^{16}}{(3^2)^7*3*5} = \frac{-2*(-3)^{17}-(-3)^{16}}{3^{14}*3*5} = \frac{(2*3-1)*(-3)^{16}}{3^{14}*3*5} = \frac{6-1)*(-3)^{16}}{3^{14}*3*5} = \frac{5*3^2}{3*5}$

Answer 2

Let's simplify the expression step by step:

1. Evaluate the exponents first: (-3)^17 = -3 * (-3)^16 (-3)^16 = (-3)^2 * (-3)^14 = 9 * (-3)^14 (-3)^14 = (-3)^2 * (-3)^12 = 9 * (-3)^12 (-3)^12 = (-3)^2 * (-3)^10 = 9 * (-3)^10 (-3)^10 = (-3)^2 * (-3)^8 = 9 * (-3)^8 (-3)^8 = (-3)^2 * (-3)^6 = 9 * (-3)^6 (-3)^6 = (-3)^2 * (-3)^4 = 9 * (-3)^4 (-3)^4 = (-3)^2 * (-3)^2 = 9 * 9 = 81

2. Substitute the evaluated values back into the expression: (-2) * (-3)^17 - (-3)^16 / (3^2)^7 * 3 * 5 = (-2) * (-3 * 81) - (81) / (9^7) * 3 * 5

3. Simplify further: = 162 - 81 / (9^7) * 3 * 5

4. Calculate (9^7): = 162 - 81 / 4782969 * 3 * 5

5. Perform the division: = 162 - 0.000033303 * 3 * 5

6. Complete the multiplication: = 162 - 0.000499545

7. Subtract the two values: = 161.999500455

So, the simplified value of the expression is approximately 161.999500455.