Question

Simplify (3 1/7)^7 Apex

Answer 1

Answer:

$(3\frac{1}{7})^7$ in simplified form is 3028.81

Step-by-step explanation:

We have to simplify

$(3\frac{1}{7})^7$

Converting mixed fraction into improper fraction

$(\frac{22}{7})^7$

we know (a/b)^n = a^n/b^n

Applying

$\frac{(22)^7}{(7)^7} \\\frac{2494357888}{823543} \\3028.81$

So $(3\frac{1}{7})^7$ in simplified form is 3028.81

Answer 2

Answer:  $(3\ \frac{1}{7})^7=3,028.81$

Step-by-step explanation:

We can convert the mixed number inside the parentheses into a fraction.

We need to multiply the denominator of the fractional part by the whole number and add the numerator to the product. This will be the new numerator. The new denominator of the fraction will be the same original denominator of the fractional part. Then:

$(3\ \frac{1}{7})^7=(\frac{(3*7)+1}{7})^7=(\frac{21+1}{7})^7=(\frac{22}{7} )^7$

Remember that:

$(\frac{a}{b})^n=\frac{a^n}{b^n}$

Then we get:

$\frac{22^7}{7^7}=\frac{2,494,357,888}{823,643}=3,028.81$