Math, asked by niteshnehra0804, 5 hours ago

simplify : (3rase to the power - 7 ÷3rase to the power-9)multiply 3 rase to the power - 4​

Answers

Answered by DeeznutzUwU
1

Answer:

\frac{1}{9}

Step-by-step explanation:

Question states:

Simplify (\frac{3^{-7} }{3^{-9}}) *3^{-4}

We know that \frac{a^{m} }{a^{n} }  = a^{m-n}

3^{-7-(-9)} *3^{-4}

3^{-7+9} *3^{-4}

3^{2} *3^{-4}

We know that a^{m} *a^{n} = a^{m+n}

3^{2 + (-4)}

3^{2-4}

3^{-2}

We know that a^{-m} = \frac{1}{a^{m} }

\frac{1}{3^{2} }

\frac{1}{9}

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