Question

27 (-3^2 а^3) : (3^5 а^-1) при а= -0,1

Answer 1

$27 \times ( - {3}^{2} \times {a}^{3} ) \div ( {3}^{5} \times {a}^{ - 1} ) = 27 \times ( - {3}^{2} \times {a}^{3} ) \: \div \frac{ {3}^{5} }{a} = \\ = - {3}^{3} \times {3}^{2} \times {a}^{3} \times \frac{a }{ {3}^{5} } = - {3}^{5} \times \frac{ {a}^{4} }{ {3}^{5} } = - {a}^{4}$

- а^4 = - ( - 0,1 )^4 = - 0,0001


ОТВЕТ: - 0,0001

Answer 2

To evaluate the expression 27 (-3^2 а^3) : (3^5 а^-1) when а = -0.1, we need to substitute the value of а into the expression and perform the calculations step by step.

Step 1: Substitute the value of а into the expression: 27 (-3^2 а^3) : (3^5 а^-1) = 27 (-3^2 (-0.1)^3) : (3^5 (-0.1)^-1)

Step 2: Simplify the expression within the parentheses and exponents: 27 (-3^2 (-0.1)^3) = 27 (-3^2 (-0.001)) = 27 (-3^2 * (-0.001)) = 27 (-3^2 * -0.001) = 27 (9 * -0.001) = 27 (-0.009) = -0.243

Step 3: Simplify the denominator: (3^5 (-0.1)^-1) = (3^5 * -10) = (243 * -10) = -2430

Step 4: Divide the numerator by the denominator: -0.243 / -2430 = 0.0001

So, when а = -0.1, the expression 27 (-3^2 а^3) : (3^5 а^-1) evaluates to 0.0001.