Question

1. (3*2^20+7*2^19)*52------------------------------(-1)^7*(13*8^4)^2(это дробь, если что)2. 12^8*9^12Подробно, если можете

Answer 1

1
(3*2^20+7*2^19)*52/[(-1)^7*(13*8^4)^2]=-2^19*(3*2+7)*52/(13²*2^24)=
=-13*13/2^3*13²=-1/8
2
12^8*9^12=(3*2²)^8*(3²)^12=3^8*2^16*3^24=2^16*3^32=(2*9)^16=18^16

Answer 2

1. (3*2^20+7*2^19)*52

To solve this expression, we can start by simplifying the exponents and then performing the multiplication and addition. Let's break it down step by step:

1. Simplify the exponents: - 2^20 means 2 raised to the power of 20. - 2^19 means 2 raised to the power of 19.

2. Perform the multiplication and addition: - Multiply 3 by 2^20. - Multiply 7 by 2^19. - Add the results of the two multiplications. - Multiply the sum by 52.

Let's calculate it:

1. Simplify the exponents: - 2^20 = 1,048,576 - 2^19 = 524,288

2. Perform the multiplication and addition: - 3 * 1,048,576 = 3,145,728 - 7 * 524,288 = 3,670,816 - 3,145,728 + 3,670,816 = 6,816,544 - 6,816,544 * 52 = 354,705,088

Therefore, the value of the expression (3*2^20+7*2^19)*52 is 354,705,088.

2. 12^8*9^12

To solve this expression, we can simply multiply the two numbers together. Let's calculate it:

- 12^8 = 429,981,696 - 9^12 = 2,541,865,828,329

Now, let's multiply the two results together:

- 429,981,696 * 2,541,865,828,329 = 1,093,457,672,811,983,744

Therefore, the value of the expression 12^8*9^12 is 1,093,457,672,811,983,744.

Please let me know if there's anything else I can help you with!