Question

(-81)^-5*27^-3 дріб 9^-15

Answer 1

$1)\frac{-81^{-5}*3^{-9} }{3^{-30} } =\\\\=-81^{-5} *3^{21} \\=-3^{-20} *3^{21} =-3$Ответ: -3

Объяснение:

Answer 2

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

First, let's simplify the base of the exponents:

(-81)^-5 = 1/(-81)^5 27^-3 = 1/27^3

Next, let's simplify the fraction:

(1/(-81)^5 * 1/27^3) / 9^-15

To divide two fractions, we can multiply the first fraction by the reciprocal of the second fraction:

(1/(-81)^5 * 1/27^3) * 9^15

Now, let's simplify each term:

1/(-81)^5 = 1/(-32768) = -1/32768 1/27^3 = 1/19683

Putting it all together:

(-1/32768 * 1/19683) * 9^15

To multiply the fractions, we can multiply the numerators and denominators:

(-1 * 1) / (32768 * 19683) * 9^15

Simplifying the numerators and denominators:

-1 / (6457008157670810) * 9^15

Finally, we can express the result as:

-9^15 / 6457008157670810