Multiply. Simplify your answer. 4z^2/10z^2 * 8z^2 ______

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Identify Terms: Identify the terms to be multiplied and rewrite the multiplication expression. We have the fraction 4z^2/10z^2 and we want to multiply it by 8z^2. The multiplication expression is (4z^2/10z^2) * 8z^2.Simplify Fraction: Simplify the fraction before multiplying. The z^2 terms in the numerator and denominator of the fraction 4z^2/10z^2 cancel each other out because they are the same, leaving us with 4/10. This simplification is valid because z^2/z^2 = 1, provided that z is not equal to zero.Further Simplify: Further simplify the fraction 4/10. The fraction 4/10 can be reduced by dividing both the numerator and the denominator by their greatest common divisor, which is 2. This gives us 2/5.Multiply Fraction: Multiply the simplified fraction by 8z^2. Now we multiply the simplified fraction 2/5 by 8z^2. This gives us (2/5) * 8z^2.Perform Multiplication: Perform the multiplication. Multiplying 2/5 by 8z^2, we get 2 * 8z^2 / 5, which simplifies to 16z^2 / 5.Write Final Answer: Write the final answer in simplest form. The final simplified result of the multiplication is 16z^2 / 5, which is already in its simplest form.

Multiply. Simplify your answer. $\newline$ $\frac{4z^2}{10z^2} \times 8z^2$

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Multiply. Simplify your answer. $\newline$ $\frac{4z^2}{10z^2} \times 8z^2$