Multiplying Exponents Calculator

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Exponents are also called as powers or index. In an expression of the form , a is called as base and b is called as an exponent. Exponent can either be positive, negative or zero. Multiplication of same base having different

exponents results in the addition of exponents. x = .

 

When a variable is raised to and powers then, = .

 

Example 1: Simplify the expression (a) (7x - ) (b)

  1. (7x - )

Applying the distributive property,

Step 1: Multiply with 7x and with

(7x) - (

(7x) - (

Applying the formula x =

7 -

7 -

  1. In this question, there is no need of multiplying the two expressions and . Because when it is raised to the power 0, always the result is 1.

     

Example 2: Find the value of the expression .

.

Writing 256 in powers of 2.

256 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 =

Now replace 256 with

. = .

Here the bases are same so we will add the exponents.

. =

= =
= 2 x 2 x 2 x 2 = 16

Hence the value of the expression is 16.

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