Question

(c⁸)⁶.×(d¹⁸) ³:(c⁸d⁹) ⁶; ​

Answer 1

Ответ: 1

Пошаговое объяснение:

Answer 2

To simplify the expression (c⁸)⁶ * (d¹⁸)³ / (c⁸d⁹)⁶, we can apply the rules of exponents.

First, let's deal with each term separately:

1. (c⁸)⁶ = c^(8*6) = c^48
2. (d¹⁸)³ = d^(18*3) = d^54
3. (c⁸d⁹)⁶ = (c⁸)⁶ * (d⁹)⁶ = c^(86) * d^(96) = c^48 * d^54

Now, we can simplify the expression:

(c⁸)⁶ * (d¹⁸)³ / (c⁸d⁹)⁶ = (c^48) * (d^54) / (c^48 * d^54)

Now, when you divide two terms with the same base (in this case, both c and d) and the same exponent, you subtract the exponents:

(c^48) * (d^54) / (c^48 * d^54) = (c^48 / c^48) * (d^54 / d^54)

Since c^48 / c^48 and d^54 / d^54 both equal 1, the simplified expression is:

1 * 1 = 1

So, the final result is 1.