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

Round 125,458 to the nearest hundred thousand
what are the general characteristics of substances chemists use to seperate mixtures into individual substances?
How do you put 11.85 as a fraction
If something is made of atoms, it must be ____.
Asexual reproduction is not as widespread in (plants, animals) as it is in (plants,animals) .
How does a universal genetic code relate to the hypotheses about the origin of life on Earth?
describe an advance in technology that makes life more enjoyable. what discoveries contribute to this technology?
20/8 as a mixed number the simplest form
Why did so many Native American peoples adopt Christianity in Latin America during the 1500s?
3k-1=7k+2How do I solve this? and other problems like this?