# SIMPLIFYING EXPRESSIONS WITH POWERS

## About "Simplifying expressions with powers"

Simplifying expressions with powers :

We can use the following properties of exponents to simplify expressions with powers.

## Simplifying expressions with powers - Examples

Example 1 :

Simplify the expression given below.

(10³)²

Using power of a power property, we can simplify the given expression.

(10³)² 10³²

(10³)²  =    10

(10³)²  =    1000000

Example 2 :

Simplify the expression given below.

4³· 5³

Using power of a product property, we can simplify the given expression.

4³· 5³  =  (4 · 5)³

4³· 5³  =  20³

4³· 5³  =  8000

Example 3 :

Simplify the expression given below.

8· 8³· 8

Using product of powers property, we can simplify the given expression.

8· 8³· 8⁵  =  8³

8· 8³· 8⁵  8²

8· 8³· 8⁵  =  64

Example 4 :

Simplify the expression given below.

7⁵ / 7³

Using quotient of powers property, we can simplify the given expression.

7⁵ / 7³  =  7³

7⁵ / 7³  =  7²

7⁵ / 7³  =  49

Example 5 :

Simplify the expression given below.

128· 128

Using zero exponent property, we can simplify the given expression.

128· 128  =  1 · 128

128· 128  =  128

Example 6 :

Simplify the expression given below.

4¹

Using negative exponent property, we can simplify the given expression.

4¹  =  1/4¹

4¹  =  1/4

Example 7 :

Simplify the expression given below.

5³· 3³

Using power of a product property, we can simplify the given expression.

5³· 3³  =  (5 · 3)³

5³· 3³  =  15³

5³· 3³  =  3375

Example 8 :

Simplify the expression given below.

5³

Using negative exponent property, we can simplify the given expression.

5³  =  1/5³

5³  =  1/125

After having gone through the stuff given above, we hope that the students would have understood how to simplify expressions with powers

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