Question

1) 18^7/2^6*9^6 2) 7^9*5^8/35^8 3) 2^9*5^14/50^7 4) 100^8/2^15*5^14 5) 45^6/75^3 /- это дробная черта ^- следующее число это дробь

Answer 1

1) 18

2) 7

3) 4

4) 50

5) 19683

Answer 2

1) 18^7/2^6*9^6 First, let's calculate the exponents: 18^7 = 612220032 2^6 = 64 9^6 = 531441 Now, let's substitute these values back into the expression: 612220032/64*531441 = 612220032/4096*531441 = 1492992*531441 = 792281625152 So, the answer is 792281625152.

2) 7^9*5^8/35^8 First, let's calculate the exponents: 7^9 = 40353607 5^8 = 390625 35^8 = 152587890625 Now, let's substitute these values back into the expression: 40353607*390625/152587890625 = 15752902887575/152587890625 So, the answer is 15752902887575/152587890625.

3) 2^9*5^14/50^7 First, let's calculate the exponents: 2^9 = 512 5^14 = 6103515625 50^7 = 78125000000000 Now, let's substitute these values back into the expression: 512*6103515625/78125000000000 = 3125000000000/78125000000000 So, the answer is 3125000000000/78125000000000.

4) 100^8/2^15*5^14 First, let's calculate the exponents: 100^8 = 100000000000000000000 2^15 = 32768 5^14 = 6103515625 Now, let's substitute these values back into the expression: 100000000000000000000/32768*6103515625 = 3051757812500000000000000/32768 So, the answer is 3051757812500000000000000/32768.

5) 45^6/75^3 First, let's calculate the exponents: 45^6 = 11390625 75^3 = 421875 Now, let's substitute these values back into the expression: 11390625/421875 = 27 So, the answer is 27.