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 of the following is a convention of Mayan architecture? Question 19 options: Mayan pyramids were whitewashed with lime and had no glyphs on their sides. M
Revenue accounts should begin each accounting period with zero balances.
Ishaan is 3 times as old as Christopher and is also 14 years older than Christopher.how old is ishann?
What do you think would happen if DNA replication occurred incorrectly
A sample of a solid nonmetal is compared to a sample of a solid metal. Both samples have the same volume. What is the most likely difference between the two sam
Description of population statistics incorporated
what is the maximum concentration of lead in drinking water allowed in the EPA
Read these lines of poetry: The kettle sang on the stove like a rooster cockadoodledoing. So under the covers I dove. More sleep I was pursuing. Which line
I need to know the answer
What two systems work with the digestive system to control digestion speed? a. Endocrine and Excretory c. Circulatory and Nervous b. Excretory and Circulatory d