Question

Simplify. Write your answers without exponents. (1/16)⁽⁻⁵/⁴⁾

A. 16⁵
B. 16⁽⁻⁵⁾
C. 4⁵
D. 4⁽⁻⁵⁾

Answer 1

To simplify the expression (1/16)⁽⁻⁵/⁴⁾, convert the fraction to a decimal and rewrite the exponent. The simplified expression is approximately 0.247.

Step-by-step explanation:

To simplify the expression (1/16)⁽⁻⁵/⁴⁾ without using exponents, we need to convert the fraction to a decimal. The fraction 1/16 is equal to 0.0625.

Now we need to raise 0.0625 to the power of -5/4. To do this, we can rewrite the exponent as -5 ÷ 4, which is -1.25.

So, the simplified expression is 0.0625 raised to the power of -1.25. In decimal form, this is approximately 0.247.