Question

(3x)^3*x^-9/x^-10*2x^5 при x=5

Answer 1

Ответ:

5,4

Пошаговое объяснение:

(3х)³/x⁹:2x⁵/x¹⁰=(27x³*x¹⁰)/x⁹*2x⁵=27x¹³/x¹⁴=27*x⁻¹=27/x=27/5=5 2/5=5,4

Answer 2

To evaluate the expression (3x)^3 * x^(-9) / x^(-10) * 2x^5 when x = 5, follow these steps:

Step 1: Substitute the value of x into the expression. Step 2: Simplify the expression.

Let's do it step by step:

Step 1: Substitute x = 5 into the expression:

(3 * 5)^3 * 5^(-9) / 5^(-10) * 2 * 5^5

Step 2: Now, simplify the expression using the properties of exponents:

(3 * 5)^3 = 15^3 = 3375 5^(-9) = 1 / 5^9 5^(-10) = 1 / 5^10 2 * 5^5 = 2 * 3125 = 6250

Now the expression becomes:

3375 * (1 / 5^9) / (1 / 5^10) * 6250

Next, simplify further:

(3375 * 5^10) / 5^9 * 6250

Now, perform the division:

(3375 * 5) * 6250

Finally, calculate the result:

(16875) * 6250 = 105468750

So, when x = 5, the value of the expression (3x)^3 * x^(-9) / x^(-10) * 2x^5 is 105468750.