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:
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}
]
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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})