Question

81^12*10^-7/10^-5*27^17 решити плиз

Answer 1

(81¹² * 10⁻⁷) / (10⁻⁵ * 27¹⁷) = ((3⁴)¹² * 10⁻⁷) / (10⁻⁵ * (3³)¹⁷) =

=  (3⁴°¹² * 10⁻⁷) / (10⁻⁵ * 3³°¹⁷) =  (3⁴⁸ * 10⁻⁷) / (10⁻⁵ * 3⁵¹) =

= 3⁴⁸⁻⁵¹ * 10⁻⁷⁻⁽⁻⁵⁾ = 3⁻³ * 10⁻² = 1 / (3³*10²) = 1 / (27*100) = 1/2700

Answer 2

1,7179251 × 10^45 ответ

Answer 3

To solve the expression, let's break it down step by step and simplify it:

1. Calculate the powers first:

   • 81^12 = (3^4)^12 = 3^(4*12) = 3^48
   • 10^-7 = 1/10^7
   • 10^-5 = 1/10^5
   • 27^17 = (3^3)^17 = 3^(3*17) = 3^51

2. Simplify the expression further: (3^48 * 10^(-7)) / 10^(-5) * 3^51

3. Use the properties of exponents (a^(m+n) = a^m * a^n) to combine like terms: 3^(48+51) * 10^(-7-(-5))

4. Continue simplifying: 3^99 * 10^(-7+5)

5. Add the exponents for 10: 3^99 * 10^(-2)

6. Now, we need to convert the expression into scientific notation, which is in the form a × 10^n: 3^99 ≈ 7.952095 × 10^47 (approximately) 10^(-2) = 1/100 = 0.01

7. Multiply the two parts together: 7.952095 × 10^47 * 0.01 = 7.952095 × 10^(47-2) = 7.952095 × 10^45

So, the final answer is approximately 7.952095 × 10^45.