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4 votes
-2m^3 n^2t to the power of 4

User Iwona
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1 Answer

4 votes
answer : 2^4m^12/n^8

here it is in picture form to help.

explanation:

Negative number raised to an even power is positive

For example let's look at (-7)6 , where (-7) , a negative number, is raised to 6 , an even exponent :

(-7)6 can be written as (-7)•(-7)•(-7)•(-7)•(-7)•(-7)

Now, using the rule that says minus times minus is plus, (-7)6 can be written as (49)•(49)•(49) which in turn can be written as (7)•(7)•(7)•(7)•(7)•(7) or 76 which is positive.

We proved that (-7)6 is equal to (7)6 which is a positive number

Using the same arguments as above, replacing (-7) by any negative number, and replacing the exponent 6 by any even exponent, we proved which had to be proved

2.2 m3 raised to the 4 th power = m( 3 * 4 ) = m12

2.3 n2 raised to the 4 th power = n( 2 * 4 ) = n8
-2m^3 n^2t to the power of 4-example-1
User Mirna
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