Example Question - algebraic fraction simplification
Here are examples of questions we've helped users solve.
Simplification of an Algebraic Fraction with Negative Exponents
\[ \left( \frac{4a^6b^5c^{-2}}{(2a^{-4}b^6c)^3} \right)^2 = \left( \frac{4a^6b^5c^{-2}}{8a^{-12}b^{18}c^3} \right)^2 = \left( \frac{4 \cdot a^{6-(-12)} \cdot b^{5-18} \cdot c^{-2-3}}{8} \right)^2 = \left( \frac{4 \cdot a^{18} \cdot b^{-13} \cdot c^{-5}}{8} \right)^2 = \left( \frac{a^{18} \cdot b^{-13} \cdot c^{-5}}{2} \right)^2 = \frac{a^{36} \cdot b^{-26} \cdot c^{-10}}{4} \]
Algebraic Fraction Simplification
The image contains an algebraic fraction that needs to be simplified. The given expression is: x = (y + 3) / (y + 3) To simplify this expression, you can cancel out the matching terms in the numerator and the denominator because (y + 3) divided by (y + 3) is 1, as long as y is not equal to -3 (because if y were -3, the denominator would be zero and the expression would be undefined). Therefore, the simplified expression is: x = 1 As long as y does not equal -3, x will equal 1.
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