Q. Multiply. Simplify your answer.15z15y2z×16z19y2z
Write Problem, Identify Expressions: Write down the problem and identify the expressions to be multiplied.We have the expression 15z15y2z×16z19y2z. We need to multiply the two fractions.
Factor Out Common Terms: Factor out common terms in the numerators and denominators.In the first fraction, 15y2z/15z, we can cancel out the common factor of 15z in the numerator and the denominator. In the second fraction, 19y2z/16z, we can cancel out the common factor of z in the numerator and the denominator.
Perform Cancellation: Perform the cancellation.After canceling out the common factors, the first fraction simplifies to y2 and the second fraction simplifies to 1619y2.
Multiply Simplified Fractions: Multiply the simplified fractions.Now we multiply y2 by 1619y2. This gives us (16y2⋅19y2).
Combine Like Terms: Combine like terms in the numerator.When we multiply y2 by 19y2, we add the exponents of y because they have the same base. This gives us 1619y(2+2), which simplifies to 1619y4.
Check for Further Simplification: Check if the expression can be simplified further. The expression 1619y4 cannot be simplified further because 19 and 16 have no common factors other than 1, and the variable y is already in its simplest form.
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