Question

2. 1) (x11y12z13)2 : (x2yz2)9* (xyz5)2;​

Answer 1

Ответ:

Объяснение:

=x22y24z26:x18y18z18*x2y2z10=

x6y8z18

Answer 2

To simplify the expression (x^11y^12z^13)^2 : (x^2yz^2)^9 * (xyz^5)^2, let's perform the necessary calculations step by step.

First, let's simplify each term individually:

1. (x^11y^12z^13)^2 = x^(112) * y^(122) * z^(13*2) = x^22 * y^24 * z^26

2. (x^2yz^2)^9 = x^(29) * y^(19) * z^(2*9) = x^18 * y^9 * z^18

3. (xyz^5)^2 = x^(12) * y^(12) * z^(5*2) = x^2 * y^2 * z^10

Now, let's substitute these simplified terms back into the original expression:

(x^22 * y^24 * z^26) : (x^18 * y^9 * z^18) * (x^2 * y^2 * z^10)

When dividing like bases, you subtract the exponents in the numerator and denominator:

x^(22 - 18) * y^(24 - 9) * z^(26 - 18) * x^2 * y^2 * z^10

Simplifying further:

x^4 * y^15 * z^8 * x^2 * y^2 * z^10

To multiply like bases, you add the exponents:

x^(4 + 2) * y^(15 + 2) * z^(8 + 10)

x^6 * y^17 * z^18

So, the final simplified expression is:

x^6y^17z^18