me14nie
me14nie me14nie
  • 17-08-2018
  • Mathematics
contestada

Which value is equivalent to (7•3•2)^2 / (7•5) x (7^0)^3 / 5^-3 x 5^-9

Which value is equivalent to 7322 75 x 703 53 x 59 class=

Respuesta :

gmany
gmany gmany
  • 22-08-2018

[tex] \left(\dfrac{7\cdot3\cdot2}{7\cdot5}\right)^2\times\left(\dfrac{7^0}{5^{-3}}\right)\times5^{-9}\\\\=\left(\dfrac{6}{5}\right)^2\times\left(\dfrac{1}{5^{-3}}\right)\times5^{-9}\\\\=\dfrac{6^2}{5^2}\times\dfrac{5^{-9}}{5^{-3}}=6^2\times5^{-9-(-3)-2}=36\times5^{-8}=\dfrac{36}{5^8}\\\\\text{Used}\\\\\left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}\\\\\dfrac{a^n}{a^m}=a^{n-m}\\\\a^{-n}=\dfrac{1}{a^n} [/tex]

Answer Link

Otras preguntas

Which factor encouraged mill owners to hire children and women? A. Owners could train women and children to be future managers B. There weren't enough men to
which spectral class does the sun belongs to
How many kingdoms do scientist use to classify a living things today?
Which sentence is true about an angle? A.an angle is formed by two lines that do not cross each other.
Which of the following is a true statement about interviews? You should nod your head occasionally while listening to show attentiveness. You should lean
47/10 as a mixed number
Write the pairs of fractions as a pair of fractions with a common denominator 3/10 and 2/5 1/3 and 3/4
___________ a mixture of iron filings and sulfur will make the iron and sulfur atoms combine chemically
What did the case Plessey v. Ferguson decide? -It showed that racial segregation was constitutional. -It showed that racism was not acceptable. -It showed that
One mostly negative effect of urbanization was the establishment of