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4(3x²y⁴)³/(2x³y⁵)⁴

Step-by-step explanation:

Given:

The expression to simplify is given as:

First, we will simplify the numerator and denominator separately using the law of indices:

The numerator is simplified as:

The denominator is simplified as:

Now, we divide the simplified numerator by the simplified denominator. This gives,

Now, we simplify using another law of indices which is given as:

Now, we write the answer using only positive exponents and thus we use the given law of indices:

Therefore, the simplified form is:

x = ± 6i

step-by-step explanation:

x^2 = -36

take the square root of each side

sqrt(x^2) = sqrt(-36)

we know sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(36) sqrt(-1)

we know that sqrt (-1) = i

x = ± 6i