What is the quotient when the square of 4x2y2 is divided by the square of -2xy2?

Any non-zero base raised to the power of zero is 1.

The expression $2x^3y^2$ is assumed to be non-zero.

The final answer is $\boxed{\text{1}}$.
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A term with a negative exponent can be rewritten as its reciprocal with a positive exponent.

The final answer is $\boxed{\frac{2}{k}}$.
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Divide 12 by 16: $\frac{12}{16} = \frac{3}{4}$.
For $x$: $\frac{x^1}{x^2} = x^{1-2} = x^{-1}$.
For $y$: $\frac{y^2}{y^2} = y^{2-2} = y^0 = 1$.

$y^0 = 1$ and $x^{-1} = \frac{1}{x}$.

The final answer is $\boxed{\frac{3}{4x}}$.
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The number is 0.000000427. Moving the decimal point past 4 gives 4.27.

The decimal point moved 7 places to the right.

Since the decimal point was moved to the right, the exponent of 10 will be negative.

The final answer is $\boxed{4.27 \times 10^{-7}}$.
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Total bacteria $= 2.5 \times 10^8$.
Number of days $= 5$.

Average per day $= \frac{\text{Total bacteria}}{\text{Number of days}}$

Divide 2.5 by 5: $2.5 \div 5 = 0.5$.

The coefficient 0.5 is not between 1 and 10. Move the decimal point one place to the right to get 5.0. Since the decimal point was moved one place to the right, decrease the exponent of 10 by 1.

The final answer is $\boxed{5.0 \times 10^7}$.
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$x^{-2} = \frac{1}{x^2}$.

The final answer is $\boxed{\frac{4y^4}{x^2}}$.
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$x^{-4} = \frac{1}{x^4}$.

The final answer is $\boxed{\frac{y^2}{x^4}}$.
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Divide the coefficients: $16 \div 4 = 4$.
For $x$: $\frac{x^6}{x^2} = x^{6-2} = x^4$.
For $y$: $\frac{y^4}{y^4} = y^{4-4} = y^0 = 1$.

The final answer is $\boxed{4x^4}$.