Question

Simplify ( (2⁻6)(5)(2³cdot5)² ).

a. ( 1/40000 )
b. ( 1/80000 )
c. ( 1/160000 )
d. ( 1/320000 )

Answer 1

The simplified expression is (1/125).

Step-by-step explanation:

To simplify the expression ( (2⁻⁶)(5)(2³⋅5)² ), you can start by evaluating the exponents. 2⁻⁶ can be rewritten as 1/2⁶, which is equal to 1/64.

Then, simplify the expression inside the parentheses: (2³⋅5)² is equal to (8⋅5)², which is equal to 40² or 1600. Next, multiply the simplified terms: (1/64)(5)(1600) = (1/64)(8000) = 8000/64 = 125.

Finally, express the answer in simplified fraction form: 125 can be written as 1/125. Therefore, the simplified expression is (1/125).