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

[Deleted User]

Use multiplication to expand the expression below. Then compute. Express your answer as a fraction in simplest form.

(6/7)²

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. Quizzma Team

      To expand the expression ((6/7)²) using multiplication, we can write it as:

      [

      (6/7) times (6/7)

      ]

      Now, multiply the numerators and the denominators:

      Numerator: (6 times 6 = 36)

      Denominator: (7 times 7 = 49)

      So, we have:

      [

      (6/7)² = frac{36}{49}

      ]

      Now, we need to express it in simplest form. The greatest common divisor (GCD) of 36 and 49 is 1, which means (frac{36}{49}) is already in simplest form.

      Thus, the final answer is:

      [

      frac{36}{49}

      ]

      Keep up the great work! If you need more in-depth help, feel free to check our extended services page!

    3. Quizzma Team

      To expand the expression ((6/7)²), we multiply ((6/7)) by itself:

      [

      (6/7)² = (6/7) × (6/7)

      ]

      Now, we multiply the numerators and the denominators:

      [

      = frac{6 × 6}{7 × 7} = frac{36}{49}

      ]

      Now, we check if the fraction (frac{36}{49}) can be simplified. Since 36 and 49 have no common factors other than 1, this fraction is already in its simplest form.

      Answer: (frac{36}{49})

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