Answered

Get the answers you need from a community of experts on IDNLearn.com. Receive prompt and accurate responses to your questions from our community of knowledgeable professionals ready to assist you at any time.

Without computing, determine which number is greater, [ ( − 4 ) ^4 ] ^5 or − [ ( 4 ^12 ) ^3 ] . Explain your reasoning.

Sagot :

Sqdancefanidn

Answer:

  [ ( − 4 ) ^4 ] ^5 is greater

Step-by-step explanation:

You want to know the greater of the two numbers ...

  • [ ( − 4 ) ^4 ] ^5
  • − [ ( 4 ^12 ) ^3 ]

Comparison

The two numbers have different numbers of minus signs involved in the product. One of them has an even number of minus signs (20), so will be positive. The other has an odd number of minus signs (1), so will be negative.

The greater number is the positive number:

  [ ( − 4 ) ^4 ] ^5 = 4^20

__

Additional comment

The lesser number is the negative number:

  -(4^36)

Thank you for participating in our discussion. We value every contribution. Keep sharing knowledge and helping others find the answers they need. Let's create a dynamic and informative learning environment together. Your questions find clarity at IDNLearn.com. Thanks for stopping by, and come back for more dependable solutions.