anthonyresendez006 anthonyresendez006
  • 17-05-2022
  • Mathematics
contestada

Diego was trying to write (5^2)^4 with a single exponent and wrote (5^2)^4=5^2+^4=5^6. What should the answer be? Explain Diego's error in complete sentences and thoughts.

Respuesta :

lpina68 lpina68
  • 17-05-2022

Answer:

5^8

Step-by-step explanation:

Diego added the exponents. This was an error. If he was simplifying

5^2 × 5^4, then he could add the exponents and get a correct answer. But his problem had a power raised to a power. In this case, you multiply the exponents to simplify.

(5^2)^4 means

5^2×5^2×5^2×5^2

which is

5×5×5×5×5×5×5×5

which is 5^8.

Answer Link

Otras preguntas

how does the choice of point of view affects the story "The Piece of String." I need this answered before 11:30
1. The art of interacting with foreign governments is called
which of the dollowing would not be helpful when distinguishing between sugar and table salt
Which of the following is a similarity between the United States Constitution and all state constitutions?
As multicellular organism develops its cells become what?
Glyolysis – takes one _______ molecule and converts it two two _________________ molecules. Aerobic respiration uses _______gas and happens in what two process
Y = -2/5x - 3 in standard form
What is the value of the expression when a = 5, b = 4 , and c = 6?⁢ 4a2b−c
One third of a number t is equal to 7. write the word sentence as an equation
"Rewrite Exponential Expressions" Solve for n. 25^n−3 = 5^n+8 n= I've tried this multiple times but I don't understand please help.