Use an exponent to condense the expression below. Then compute. Express your answer as a fraction in simplest form.
3/7 × 3/7 × 3/7
Answer:
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{3}{7} times frac{3}{7} times frac{3}{7} ) using an exponent, we can rewrite it as:
[
left( frac{3}{7} right)^3
]
Now, we compute this:
[
left( frac{3}{7} right)^3 = frac{3^3}{7^3} = frac{27}{343}
]
Thus, the answer expressed as a fraction in simplest form is:
[
frac{27}{343}
]
Feel free to ask if you have more questions or need further clarification!
To condense the expression ( frac{3}{7} times frac{3}{7} times frac{3}{7} ) using exponents, we can rewrite it as ( left(frac{3}{7}right)^3 ).
Now, let’s compute it:
[
left(frac{3}{7}right)^3 = frac{3^3}{7^3} = frac{27}{343}
]
So, the final answer, expressed as a fraction in simplest form, is:
Answer: ( frac{27}{343} )