Question

For Exercises, simplify. $$\frac{6 y^{8}}{8 y^{9}}$$

   For Exercises, simplify.
$$\frac{6 y^{8}}{8 y^{9}}$$

Prealgebra and Introductory Algebra

Prealgebra and Introductory Algebra

Richard N. Aufmann,… 3rd Edition

Chapter 9, Problem 36

Instant Answer

Solved by Expert James Kiss

06/22/2020

Step 1

We can reduce 6 over 8 to 3 over 4 by taking out a factor of 2 from both the numerator and the denominator. So, we get: $$\frac{3 y^{8}}{4 y^{9}}$$ Show more…

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For Exercises, simplify. $$\frac{6 y^{8}}{8 y^{9}}$$

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Key Concepts

Simplifying Algebraic Fractions

Algebraic fractions are simplified by combining the process of reducing numerical coefficients with applying the exponent rules to the variable parts. This results in an expression that is presented in its simplest overall form.

Simplifying Numerical Coefficients

This involves reducing numerical fractions by dividing the numerator and denominator by their greatest common divisor to obtain the simplest form. In the given problem, 6 and 8 are simplified by dividing both by 2 to yield simplified coefficients.

Exponent Laws

When dividing expressions with the same base, the exponents are subtracted according to the quotient rule. This key law simplifies the variable part by subtracting the exponent in the denominator from the exponent in the numerator.

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