Agents Agents
  • 27-08-2019
  • Mathematics
contestada

simplify using exponent rules:3^3×3^4/3^10

Respuesta :

jdoe0001 jdoe0001
  • 27-08-2019

[tex]\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{3^3 \cdot 3^4}{3^{10}}\implies \cfrac{3^3 \cdot 3^4\cdot 3^{-10}}{1}\implies 3^{3+4-10}\implies 3^{-3}\implies \cfrac{1}{3^3}\implies \cfrac{1}{27}[/tex]

Answer Link

Otras preguntas

Which inequality is true?
luna ray has 1 orange pick for every 2 green picks. how many green picks does luna have if she has 12 total picks.
Excerpt from The Catching of Unshelled Fish Olive Green (Myrtle Reed) An unshelled fish is lively and elusive past the power of words to portray, and in this, u
What is the temperature of a gas that is expanded from 3.75 L at 37 degrees Celsius to 5.6 L?
A geologist studying volcanic activity is collecting rocks that formed from hot, molten magma. What type of rock is the geologist collecting?
Please help me order these from least to greatest pleaseee
given as a gift by king charles ll
If matrix A has dimensions m x n and matrix B has dimensions n x p where m, n, and p are distinct positive integers, which of the following is true? I.the produ
When kaitlin divided a fraction by 1/2 the result was a mixed number. What was the original fraction less than of greater than 1/2? Explain your reasoning
can someone solve and explain part A, B and C