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Help pls i have been stuck for long time

Help pls i have been stuck for long time-example-1
User Michael Isvy
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1 Answer

28 votes
28 votes

Answer:

Exponent rules


\textsf{product rule: }a^b * a^c=a^((b+c))


\textsf{quotient rule: }a^b / a^c=a^((b-c))


\textsf{power rule: }(a^b)^c=a^((b * c))

a) Use product rule:


3^2 * 3^x=3^((2+x))


\implies 3^((2+x))=3^7


\implies 2+x=7


\implies x = 5

b) Use quotient rule:


7^8 / 7^y=7^((8-y))


\implies 7^((8-y))=7^6


\implies 8-y=6


\implies y=2

c) Use power rule:


(q^4)^z=q^((4z))


\implies q^((4z))=q^(12)


\implies 4z=12


\implies z=3

User Loki Kriasus
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