Question

The small number is a 3 please help

Answer 1

The correct answer is 1

Answer 2

Answer:

1

 

Rewrite 200200 as its prime factors.

\sqrt[3]{2\times 2\times 2\times 5\times 5}32×2×2×5×5

2

 

Group the same prime factors into groups of three.

\sqrt[3]{(2\times 2\times 2)\times 5\times 5}3(2×2×2)×5×5

3

 

Rewrite each group of three in exponent form.

\sqrt[3]{{2}^{3}\times 5\times 5}323×5×5

4

 

Use this rule: \sqrt[3]{{x}^{3}}=x3x3=x.

2\sqrt[3]{5\times 5}235×5

5

 

Simplify.

2\sqrt[3]{25}2325

6

 

Rewrite 2525 as {5}^{2}52.

2\sqrt[3]{{5}^{2}}2352

7

 

Use this rule: {({x}^{a})}^{b}={x}^{ab}(xa)b=xab.

2\times {5}^{\frac{2}{3}}2×532