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Simplify. Express your answer using positive exponents.\newline6y(2y)(y5)\frac{6y}{(2y)(y^5)}

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Q. Simplify. Express your answer using positive exponents.\newline6y(2y)(y5)\frac{6y}{(2y)(y^5)}
  1. Write Expression, Identify Like Terms: Write down the given expression and identify like terms. The given expression is 6y2y(y5)\frac{6y}{2y(y^5)}. We can see that there are like terms in the numerator and the denominator that can be simplified.
  2. Simplify Coefficients, Cancel Terms: Simplify the coefficients and cancel out common terms.\newlineWe can simplify the coefficients by dividing 66 by 22, which gives us 33. We can also cancel out the common yy term in the numerator and one yy term in the denominator.\newline6y2y(y5)=3y5\frac{6y}{2y(y^5)} = \frac{3}{y^5}
  3. Use Exponent Laws, Simplify: Simplify the expression using the laws of exponents.\newlineSince we have yy in the denominator with an exponent of 55, we can write the expression as:\newline3(y5)=3y−5\frac{3}{(y^5)} = 3y^{-5}\newlineWe express the answer using positive exponents.

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