Exponent of a variable is the power raised to it. Exponent implies the repeated multiplication to itself. The number of times a variable is multiplied, is raised as its **exponent or power**. We can define it by the following relation:

Where, x is a variable and n is its exponent.

$x^{n}$ is read as "

There are few important laws that are to be followed while dealing with exponents. These laws are as follows (Let us consider two variables x and y and exponents m and n):

1. $x^{0}=1$

2. $x^{-m}$=$\frac{1}{x^{m}}$

3. $x^{m}.x^{n}=x^{m+n}$

4. $\frac{x^{m}}{x^{n}}$=$x^{m-n}$

5. $(x^{m})^{n}=x^{mn}$

6. $x^{m}y^{m}=(xy)^{m}$

7. $\frac{x^{m}}{y^{m}}$=($\frac{x}{y}$)$^{m}$

8. $x^{\frac{m}{n}}$=$\sqrt[n]{x^{m}}$

= $(-2)^{2}.(x^{-1})^{2}.(y^{3})^{2}.(-5).x^{2}.y^{-2}.z$

= $4.x^{-2}.y^{6}.(-5).x^{2}.y^{-2}.z$

= $-20.\frac{1}{x^{2}}.y^{6}.x^{2}.\frac{1}{y^{2}}.z$

= $-20.x^{2-2}.y^{6-2}.z$

= $-20x^{0}y^{4}z$

= $-20y^{4}z$

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