Question

Найди частное чисел: 1)(2*2*2*3*5*5*7*13*13):(2*2*3*5*13); 2)(2*3*3*5*5*5*7*11*19):(3*3*5*5*7*19); 3)(32*45):9; 4)(80*936):8.

Answer 1

1-910. 2-110. 3-160. 4-9360

Answer 2

1) (2 * 2 * 2 * 3 * 5 * 5 * 7 * 13 * 13) : (2 * 2 * 3 * 5 * 13)

To find the quotient of these two numbers, let's simplify the numerator and denominator separately:

Numerator: 2 * 2 * 2 * 3 * 5 * 5 * 7 * 13 * 13 = 2^3 * 3 * 5^2 * 7 * 13^2

Denominator: 2 * 2 * 3 * 5 * 13 = 2^2 * 3 * 5 * 13

Now, divide the simplified numerator by the simplified denominator:

(2^3 * 3 * 5^2 * 7 * 13^2) / (2^2 * 3 * 5 * 13)

To divide exponential terms with the same base, subtract the exponents:

2^(3-2) * 3^(1-1) * 5^(2-1) * 7^(1-0) * 13^(2-1) = 2 * 1 * 5 * 7 * 13

The quotient is 2 * 1 * 5 * 7 * 13 = 910.

Therefore, the quotient of the given numbers is 910.

2) (2 * 3 * 3 * 5 * 5 * 5 * 7 * 11 * 19) : (3 * 3 * 5 * 5 * 7 * 19)

Again, let's simplify the numerator and denominator separately:

Numerator: 2 * 3 * 3 * 5 * 5 * 5 * 7 * 11 * 19

Denominator: 3 * 3 * 5 * 5 * 7 * 19

Now, divide the simplified numerator by the simplified denominator:

(2 * 3 * 3 * 5 * 5 * 5 * 7 * 11 * 19) / (3 * 3 * 5 * 5 * 7 * 19)

Cancel out the common factors:

2 * 11 = 22

Therefore, the quotient of the given numbers is 22.

3) (32 * 45) : 9

Simply divide the numerator by the denominator:

(32 * 45) / 9 = 1440 / 9 = 160

Therefore, the quotient of the given numbers is 160.

4) (80 * 936) : 8

Again, divide the numerator by the denominator:

(80 * 936) / 8 = 74880 / 8 = 9360

Therefore, the quotient of the given numbers is 9360.

The quotients for the given divisions are as follows: 1) 910 2) 22 3) 160 4) 9360