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Use an exponent to condense the expression below. Then compute. Express your answer as a fraction in simplest form.
11/17 × 11/17
Answer:
Type the / symbol on your keyboard to create fractions. Type the base, then use the ab button or use the ^ symbol on your keyboard for the exponent.
Condensed form:
To condense the expression ( frac{11}{17} times frac{11}{17} ), we can use exponents. Since we are multiplying the same base, we can express this as:
[
left(frac{11}{17}right)^2
]
Now, let’s compute ( left(frac{11}{17}right)^2 ):
[
left(frac{11}{17}right)^2 = frac{11^2}{17^2} = frac{121}{289}
]
So, the final answer in simplest form is:
[
frac{121}{289}
]
This uses the property of exponents where multiplying the same base adds the exponents, condensing the multiplication into a single exponentiation. Great job on working through that! If you have more questions, feel free to ask or check the extended services page for additional help.