Question

Find the exact value of the following, giving your answers as a fraction. c) 2^-6

Answer 1

1/64

Explanation:

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there are 6 numbers to the right of the decimal point, place the decimal number over 10 ⁶ ( 1000000 ) . Next, add the whole number to the left of the decimal.

15625 /1000000

simplify:

15625 and 1000000 .

1 /64

Answer 2

2^6=2*2*2*2*2*2=64

Since the exponent is negative, we put the 64 over 1

1/64