Find the value of the following expression:

(2^8 ⋅ 5^-5 ⋅ 19^0) ^-2 ⋅ 5 to the power of negative 2 over 2 to the power of 3, whole to the power of 4 ⋅ 2^28

Write your answer in simplified form. Show all of your steps.

Question

Mathematics

Virginia Cannon

7 December, 01:20

Find the value of the following expression:

(2^8 ⋅ 5^-5 ⋅ 19^0) ^-2 ⋅ 5 to the power of negative 2 over 2 to the power of 3, whole to the power of 4 ⋅ 2^28

Write your answer in simplified form. Show all of your steps.

+4

Answers (1)

Know the Answer?

Phillip Galloway · Answer 1

25

Step-by-step explanation:

Expression: (2⁸ ⋅ 5⁻⁵ ⋅ 19⁰) ⁻² ⋅ (5⁻²/2³) ⁴ ⋅ 2²⁸

Inner-most powers: 2⁻¹⁶ • 5¹⁰ • 1 • 5⁻⁸/2¹² • 2²⁸

Combine like terms: 2¹² • 5²/2¹²

Cancel out: 5²

Solve: 25

Find the value of the following expression:(2^8 ⋅ 5^-5 ⋅ 19^0) ^-2 ⋅ 5 to the power of negative 2 over 2 to the power of 3, whole to the power of 4 ⋅ 2^28Write your answer in simplified form. Show all of your steps.

Find the value of the following expression:

(2^8 ⋅ 5^-5 ⋅ 19^0) ^-2 ⋅ 5 to the power of negative 2 over 2 to the power of 3, whole to the power of 4 ⋅ 2^28

Write your answer in simplified form. Show all of your steps.