The main road in Belleville is $$ 7^{3 / 10} $$ miles long. So far, $$ 2^{3 / 4} $$ miles have been repaved. How many miles have not been repaved?

Question

UpStudy AI · Accepted Answer

To find out how many miles have not been repaved, we need to subtract the miles that have been repaved from the total length of the main road in Belleville.

Given:
- Total length of the main road in Belleville = $$ 7^{3 / 10} $$ miles
- Miles repaved so far = $$ 2^{3 / 4} $$ miles

Let's calculate the miles that have not been repaved by subtracting the miles repaved from the total length of the main road.
Calculate the value by following steps:
- step0: Calculate:
  $$7^{\frac{3}{10}}-2^{\frac{3}{4}}$$
- step1: Simplify:
  $$\sqrt[10]{7^{3}}-2^{\frac{3}{4}}$$
- step2: Simplify:
  $$\sqrt[10]{7^{3}}-\sqrt[4]{2^{3}}$$
- step3: Evaluate the power:
  $$\sqrt[10]{343}-\sqrt[4]{2^{3}}$$
- step4: Evaluate the power:
  $$\sqrt[10]{343}-\sqrt[4]{8}$$
The miles that have not been repaved are approximately 0.110997 miles.
Miles not repaved: approximately 0.111 miles

The main road in Belleville is \( 7^{3 / 10} \) miles long. So far, \( 2^{3 / 4} \) miles have been repaved. How many miles have not been repaved?

Real Tutor Solution

Answer

Solution

Bonus Knowledge

Related Questions

Latest Pre Algebra Questions