Use an exponent to condense the expression below. Then compute. Express your answer as a fraction in simplest form.
10/19 × 10/19
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:
Answer:
To condense the expression ( frac{10}{19} times frac{10}{19} ), we can use exponents. When multiplying the same bases, we can add the exponents:
[
frac{10}{19} times frac{10}{19} = left(frac{10}{19}right)^2
]
Now let’s compute this:
[
left(frac{10}{19}right)^2 = frac{10^2}{19^2} = frac{100}{361}
]
Thus, the condensed form is:
Condensed form: ( left(frac{10}{19}right)^2 )
Answer: ( frac{100}{361} )
The fraction ( frac{100}{361} ) is already in its simplest form since 100 and 361 have no common factors other than 1.