   # Potencias y raíces en inglés

## Potencias (Powers)

=3.3.3.3=81

three to the fourth power

three to the power of 4

In this case 3 is the base and 4 is the exponent.

### Especial cases

four to the second power

four squared (the most common)

four to the power of two

four to the square power

five cubed (the most common)

five to the third power

five to the power of three

### Ejercicios de potencias en inglés

1. Calculate:

2. Reduce the powers

a)

b)

c)

3. Express the  following numbers as a power of base ten:

a) 0.1=

b) 0.001=

c) One hundredth=

d) One millionth=

The opposite of squaring a number is finding its square root.

because

### Raíz cúbica (cube root)

The opposite of cubing a number is findingits cube root.

because

### Otras raíces (other roots)

We can also use this same pattern to calculate roots with an index number greater than 3

because

### Ejercicios de radicales en inglés

1. Calculate:

a)

b)

c)

d)

e) =

If an exponent is equal to the index, the factor goes outside the radical.

Examples:

Examples:

Example:

Exercises

1. Calculate and reduce:

a)

b)

c)

d)

2. Simplify:

a) =

b)

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