Littlelil56 Littlelil56
  • 18-09-2018
  • Mathematics
contestada

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

Find the value of the following expression 22334 write your answer in simplified form show all of your steps Help Fast class=

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jukkaduei
jukkaduei jukkaduei
  • 18-09-2018

[tex] {( \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} [/tex]
The simplified form is 1/136048896
The value is 0.00000000735
Answer Link
Cathi Cathi
  • 18-09-2018
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




Answer Link

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