Question

(x³)⁶ × x⁴:x¹⁸многочлены​

Answer 1

Ответ:

$x {}^{18} \times x {}^{4} \div x {}^{18} =$

$x {}^{18} \times x {}^{4} \div x {}^{18} =$

$1x {}^{4} = x {}^{4}$

Вроде так,если неправильно извините

Answer 2

To simplify the expression (x³)⁶ × x⁴ : x¹⁸, we can apply the laws of exponents and simplify each term separately.

Let's start with (x³)⁶. Since we have an exponent raised to another exponent, we can multiply the exponents together. In this case, 6 × 3 = 18. Therefore, (x³)⁶ simplifies to x¹⁸.

Next, we have x⁴. There are no other exponents or variables involved, so it remains as x⁴.

Now, let's simplify the denominator x¹⁸. We can rewrite it as x⁰⁻¹⁸ using the negative exponent rule, which states that x⁻ⁿ = 1/xⁿ. Therefore, x¹⁸ becomes 1/x¹⁸.

Putting it all together, the expression (x³)⁶ × x⁴ : x¹⁸ simplifies to:

(x³)⁶ × x⁴ : x¹⁸ = (x¹⁸) × x⁴ : (1/x¹⁸) = x¹⁸ × x⁴ × x⁻¹⁸ = x^(18+4-18) = x⁴

Therefore, the simplified expression is x⁴.