Question

5^7×6^7 / 30^5 + 3^3×3^9 / 3^8

Answer 1

Получается как-то так

Answer 2

Решение

5⁷*6⁷/30⁵+3³*3⁹/3⁸

(5*6)⁷/30⁵+3¹²/3⁸

30⁷/30⁵+3⁴

30²+3⁴

(10*3)²+3⁴

10²*3²+3⁴

(10²+3²)*3²

(100+9)*9

109*9

Ответ 981

Answer 3

To solve the expression, let's simplify each term step by step:

1. Simplify the first term: 5^7 × 6^7 / 30^5 Notice that 30 can be expressed as 5 × 6. So we can rewrite the expression as: (5^7 × 6^7) / (5^5 × 6^5)

   Now, use the property that (a^m × b^m) = (a × b)^m: (5 × 6)^7 / (5 × 6)^5

   Calculate (5 × 6)^7 and (5 × 6)^5: (30)^7 / (30)^5

   Simplify: 30^(7-5) = 30^2 = 900

2. Simplify the second term: 3^3 × 3^9 / 3^8 Use the property that (a^m × a^n) = a^(m + n): 3^(3 + 9) / 3^8

   Add the exponents: 3^12 / 3^8

   Now, use the property that a^(m-n) = 1 / a^(n-m): 1 / 3^(12 - 8)

   Simplify: 1 / 3^4 = 1 / 81

Now, we have simplified both terms, and the final expression becomes:

900 + 1 / 81

To combine these terms, find a common denominator:

900 + 1 / 81 = (900 * 81 + 1) / 81 = (72900 + 1) / 81 = 72901 / 81

The final result of the expression is 72901 / 81.