Use an exponent to condense the expression below. Then compute. Express your answer as a fraction in simplest form.
4/9 × 4/9
Use an exponent to condense the expression below. Then compute. Express your answer as a fraction in simplest form.
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To condense the expression ( frac{4}{9} times frac{4}{9} ) using exponents, we can rewrite it as ( left( frac{4}{9} right)^2 ).
Now, we can compute it:
[
left( frac{4}{9} right)^2 = frac{4^2}{9^2} = frac{16}{81}
]
So the answer, expressed as a fraction in simplest form, is ( frac{16}{81} ).
To condense the expression ( frac{4}{9} times frac{4}{9} ) using exponents, we can write it as:
[
left( frac{4}{9} right)^2
]
Now, we can compute the value:
[
left( frac{4}{9} right)^2 = frac{4^2}{9^2} = frac{16}{81}
]
So, the answer is:
[
frac{16}{81}
]
This is already in its simplest form, as 16 and 81 have no common factors. Great job practicing with exponents! If you have more questions or need further help, feel free to ask or check out the extended services page for extra support!