Question

Find the value of the following expression:

(28 ⋅ 3−5 ⋅ 60)−2 ⋅ 3 to the power of negative 2 over 2 to the power of 3, whole to the power of 4 ⋅ 228 (5 points)

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

Answer 1

Answer:

Step-by-step explanation:

First a lesson in expressing exponents by example.

this method will make your questions much clearer.

(2⁸ •  3⁻⁵ • 6⁰)⁻² • (3² / 2³)⁴ • 2²⁸

would be written

(2^8 •  3^-5 • 6^0)^-2 • (3^2 / 2^3)^4 • 2^28

first distribute the parenthetic exponents to the terms inside.

(2⁻¹⁶ •  3¹⁰ • 6⁰) • (3⁸ / 2¹²) • 2²⁸

now remove the parentheses and convert the denominator

2⁻¹⁶ •  3¹⁰ • 6⁰ • 3⁸ • 2⁻¹² • 2²⁸

Combine common base terms by adding the exponents

2⁰ •  3¹⁸ • 6⁰

Anything to the zero power is 1

3¹⁸ = 387,420,489