Number Systems ...

Simplify and give reasons:
$$\cfrac { { 3 }^{ -2 } }{ 3 } \times \left( { 3 }^{ 0 }-{ 3 }^{ -1 } \right) $$

Simplify and give reasons:
$$\left[ { \left( \cfrac { 3 }{ 2 }  \right)  }^{ -2 } \right] ^{ 2 }$$

Simplify:
$$\left[ { \left( \cfrac { 3 }{ 5 }  \right)  }^{ -2 }\div { \left( \cfrac { 4 }{ 5 }  \right)  }^{ -3 } \right] \times { { \left( \cfrac { 3 }{ 5 }  \right)  } }^{ -2 }$$

Which irrational number is plotted on the number line in figure?

Classify the following numbers as rational or irrational:  $$\displaystyle \frac{\sqrt{12}}{\sqrt{75}}$$.

$$\displaystyle\frac{2}{\sqrt{2}}$$ is equal to:

Which one of the following is an irrational number?

$$p^{0}$$ is equal to

Simplify the following using law of exponents.
$$2^{10}\times 2^4$$

Evaluate $$2^0+3^0$$