IzayaK528391 IzayaK528391
  • 03-11-2022
  • Mathematics
contestada

write (2 to the power of -1) to the power of 3 with the same base but one exponent

Respuesta :

RevanthK208616 RevanthK208616
  • 03-11-2022
[tex]\frac{1}{8}[/tex]

Explanation

Step 1

[tex](2^{-1})^3[/tex]

remember

[tex]\begin{gathered} a^{-n}=\frac{1}{a^n} \\ (a^n)^m=a^{n\cdot m} \\ (\frac{a}{b})^m=\frac{a^m}{b^m} \end{gathered}[/tex]

Step 2

solve

[tex]\begin{gathered} (2^{-1})^3 \\ (2^{-1})^3=(\frac{1}{2^1})^3=(\frac{1^3}{2^3})=\frac{1}{8} \end{gathered}[/tex]

Answer Link

Otras preguntas

Which off the following expressions is equal to -3x^2-12 A. (-3x+2i)(x-6i) B. (-3x-6i)(x+2i) C. (-3x-6i)(x+2i) D. (-3x-4i)(x-3i)
I found a place that will give me a 20% discount if I spend over 50 $.My bill is $75. How much money will I save
A cruise ship makes the 1,500-mile trip from London to Athens in 83 1 3 hours. If it travels 10 miles per hour FASTER on the return trip, the return trip will
which condition is a benefical fir growth of cacao trees
Do you think it is a positive or negative development that the responsibilities of the Vice President have increased from the original responsibilities listed i
Students placed 30 earthworms in box with 4 different environments the worms moved about and chose their final environment. The students then recorded the resul
find the center and foci of the ellipse (x+5)/5+(y+9)/9=1
How does tolerance affect a drinkers body
How do you solve and what’s the answer
what is 102.3 divided by 4.7 estimated answer