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joja [24]
2 years ago
10

Simplify

c{6a^2 b^-^2}{8a^-^3 b^3}" alt="\frac{6a^2 b^-^2}{8a^-^3 b^3}" align="absmiddle" class="latex-formula"> Assume a≠0 and b≠0

Mathematics
2 answers:
romanna [79]2 years ago
4 0

Answer:

3rd option

Step-by-step explanation:

using the rules of exponents

\frac{a^{m} }{a^{n} } = a^{(m-n)} : nm > n

\frac{a^{m} }{a^{n} } = \frac{1}{a^{(n-m)} } : n > m

\frac{6a^2b^{-2} }{8a^{-3b^3} } ← separate the variables

= \frac{6}{8} × \frac{a^2}{a^{-3} } × \frac{b^{-2} }{b^3}

= \frac{3}{4} × a^{2-(-3)} × \frac{1}{b^{3-(-2)} }

= \frac{3}{4} × a^{2+3} × \frac{1}{b^{3+2} }

= \frac{3}{4} × a^{5} × \frac{1}{b^{5} }

= \frac{3a^{5} }{4b^{5} }

vredina [299]2 years ago
4 0

Answer:

sorry i thought i knew it

Step-by-step explanation:

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