Question

Find the value of the following expression (2^-2/3^3)^4 write your answer in simplified form show all of your steps Help Fast

Answer 1

${( \frac{ {2}^{ - 2} }{ {3}^{3} } })^{4} \\ = ( { \frac{1}{ {2}^{2} \times {3}^{3} } })^{4} \\ = {( \frac{1}{4 \times 27} })^{4} \\ = {( \frac{1}{108} })^{4} \\ = \frac{1}{136048896}$
The simplified form is 1/136048896
The value is 0.00000000735

Answer 2

Multiply the 4 times each exponent

2^-8 / 3^12

When the exponent is negative. It goes to the other side of the fraction.

1 / 2^8* 3^12.

1 / 256* 531441

1 / 136048896