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Use multiplication to expand the expression below and express your answer as a fraction in simplest form.

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Use multiplication to expand the expression below. Then compute. Express your answer as a fraction in simplest form. (7/11)²

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Type the / symbol on your keyboard to create fractions. Press the button or type the * symbol on your keyboard to represent multiplication.
Expanded form:
Answer:




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1 Answer

  1. To expand the expression ((frac{7}{11})^2), you need to multiply the fraction by itself:

    [

    (frac{7}{11})^2 = frac{7}{11} * frac{7}{11}

    ]

    This means you multiply the numerators and the denominators:

    [

    = frac{7 times 7}{11 times 11} = frac{49}{121}

    ]

    Now, (frac{49}{121}) is already in simplest form because 49 and 121 have no common factors other than 1.

    Answer: (frac{49}{121})

  2. To expand the expression ((frac{7}{11})^2), we can multiply the fraction by itself:

    [

    (frac{7}{11})^2 = frac{7}{11} times frac{7}{11} = frac{7 times 7}{11 times 11} = frac{49}{121}

    ]

    Now, we need to express the answer as a fraction in its simplest form. The fraction (frac{49}{121}) is already in simplest form because 49 and 121 have no common factors other than 1.

    So, the final answer is:

    Expanded form: ((frac{7}{11})^2 = frac{49}{121})

    Answer: (frac{49}{121})

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