Question

(3³)³×5⁷×2²/81²×10⁵ ​

Answer 1

Ответ:

3⁹*5⁷*2²/81²*10⁵=19683*78125*4/6561*100000=9375000000010

Answer 2

To simplify the expression (3³)³ × 5⁷ × 2² / 81² × 10⁵, follow the order of operations (PEMDAS/BODMAS - Parentheses/Brackets, Exponents/Orders (i.e., powers and square roots, etc.), Multiplication and Division (left-to-right), Addition and Subtraction (left-to-right)):

1. Calculate the exponents:

   • (3³)³ = 3^(3 * 3) = 3^9
   • 5⁷ = 5^7
   • 2² = 2^2
   • 81² = 81^2
   • 10⁵ = 10^5

2. Substitute the calculated exponents into the expression: (3³)³ × 5⁷ × 2² / 81² × 10⁵ becomes (3^9) × (5^7) × (2^2) / (81^2) × (10^5)

3. Calculate each of the values with the exponents:

   • 3^9 = 19683
   • 5^7 = 78125
   • 2^2 = 4
   • 81^2 = 6561
   • 10^5 = 100000

4. Substitute these values back into the expression: (19683) × (78125) × (4) / (6561) × (100000)

5. Perform the multiplications and divisions: (19683 * 78125 * 4) / (6561 * 100000)

6. Calculate the numerator and denominator separately: Numerator: 19683 * 78125 * 4 = 618750000 Denominator: 6561 * 100000 = 656100000

7. Divide the numerator by the denominator: 618750000 / 656100000 = 0.94248 (rounded to 5 decimal places)

So, the simplified value of the expression (3³)³ × 5⁷ × 2² / 81² × 10⁵ is approximately 0.94248.