Which expression is equivalent to $\left(\frac{4^{\frac{1}{3}} \cdot 4^{\frac{2}{6}}}{4^{\frac{5}{6}}}\right)^{\frac{3}{11}}$ ?

A. $\left(\frac{1}{4}\right)^{-\frac{3}{66}}$
B. $\left(\frac{1}{4}\right)^{\frac{3}{66}}$
C. $\left(\frac{1}{4}\right)^{\frac{1}{11}}$
D. $\left(\frac{1}{4}\right)^{-\frac{1}{11}}$

Estimation is about rounding answers to the nearest whole or to a simple fraction. 11.6 is closer to 12 than it is to 11 so we can estimate that 11.6≈12
And .25 is closer to 0 than it is to .5 so we can estimate .25≈0
It also depends what place we are rounding to, we can say that .25 is close to .3 because we don't want to have a 0 value .25≈.3

Answered by JohnoftheJungle | 2024-06-10

If the number is 0-4 round it down to number that comes before.If the number is 5-9 round it up to the number that comes after.

Answered by babystar302 | 2024-06-10

Estimating decimals involves rounding numbers to simplify calculations. For instance, 11.6 is estimated as 12 and 0.25 can be approximated as either 0 or 0.3, depending on the context. Understanding how to round based on the nearest whole number or the required decimal place is key to effective estimation.
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Answered by JohnoftheJungle | 2024-10-09