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

The members of the city cultural center have decided to put on a play once a night for a week. Their auditorium holds 600 people. By selling tickets, the member
When you push on a stationary object on a horizontal surface and it doesn't move, what kind of force is most likely opposing your efforts
(Angles) Only 14-17 please, do 15 if you want
Why did republicans from the north agree to the compromise of 1877?
Point A (-5, -3) and point B (1,5) are located on a coordinate grid. Which measurement is closest to the distance between point J and point K in units?
List the reasons why people work
PLEASE HURRY AND SOLVE!!!!
At the Horizons Company, Paul is an intermediary in the global market, and he assumes all ownership risks and sells globally for its own account. Paul serves as
Felicia has a garden in the shape of a parallelogram as shown. What is the area of her garden? 72 ft 75 ft 92 ft 96 ft
How has desertification affected the land in Africa? Choose all that apply.