Question

Select the equivalent expression. Select all that apply

2⁴/2⁵
A. 16/32
D. 2⁻¹
B. 1/2
E. 2⁴ × 2⁻⁵
C. 2⁹
F. 2¹

Answer 1

The correct answers are D, B, and F.

To find the equivalent expression for 2⁴/2⁵, you can simplify the expression by dividing the exponents:

2⁴/2⁵ = 2⁴-⁵ = 2⁻¹

Thus, answer D, 2⁻¹, is correct.

You can also rewrite the expression as:

2⁴/2⁵ = (2⁴)/(2⁵) = (2/2)⁴ = 1/2

Thus, answer B, 1/2, is correct.

Finally, you can rewrite the expression as:

2⁴/2⁵ = (2⁴) × (2⁻⁵) = 2⁴+⁻⁵ = 2¹

Thus, answer F, 2¹, is correct.