Represent the following rational number as a fraction in simplified form.

$3.0\overline{43}$

Represent the following rational number as a fraction in simplified form.

$7.40111...$

Our current number system, the Hindu-Arabic numeral system, was developed because humans required an efficient way to represent the quantities they were working with.

Several mathematicians from India are credited with the development of the place-value system and the introduction of the number zero in the 5th and 6th centuries.

Represent each of the following place values as a power of $10$.

Evaluate the following (Write your answer as either an integer or a simplified fraction):

$5^{-3}$

Evaluate the following (Write your answer as either an integer or a simplified fraction):

$-3^{-3}$

Evaluate the following. Write your answer as either an integer or a simplified fraction.

${\left(-27\right)}^{\frac{1}{3}}$

Evaluate the following. Write your answer as either an integer or a simplified fraction.

${\left(\frac{3}{4}\right)}^2$

Evaluate the following. Write your answer as either an integer or a simplified fraction.

${\left(\frac{2}{5}\right)}^{-1}$

Evaluate the following. Write your answer as either an integer or a simplified fraction.