The simplified form of an expression is StartFraction 1 Over 256 EndFraction t Superscript 28. Which expression was simplified? (256 t Superscript negative 7 Baseline) Superscript 4 (4 t Superscript 28 Baseline) Superscript negative 4 (256 t Superscript negative 7 Baseline) Superscript negative 4 (4 t Superscript negative 7 Baseline) Superscript negative 4

Question

Dixie Ballard

Mathematics

21 March, 10:28

The simplified form of an expression is StartFraction 1 Over 256 EndFraction t Superscript 28. Which expression was simplified? (256 t Superscript negative 7 Baseline) Superscript 4 (4 t Superscript 28 Baseline) Superscript negative 4 (256 t Superscript negative 7 Baseline) Superscript negative 4 (4 t Superscript negative 7 Baseline) Superscript negative 4

+1

Answers (2)

Know the Answer?

King Mathis · Answer 1

(4t^-7) ^14

Step-by-step explanation:

In other words, the answer is D

Amira Douglas · Answer 2

(4 t Superscript negative 7 Baseline) Superscript negative 4

Step-by-step explanation:

1/256 * (t^28)

=t^28/256

= t^28 / 4^4

Multiply t^28 with the inverse of 4^4

= t^28 4^-4

= (t^-7 * 4) ^-4

= (4t^-7) ^-4

(4 t Superscript negative 7 Baseline) Superscript negative 4