Question

125 raised to power 16 divided by 5 raised to the power 11

Answer 1

Answer:

4400

Step-by-step explanation:

125^16 = 2000

2000/5 = 400

400^11 = 4400

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Answer 2

Answer:

$(5)^{37}$

Step-by-step explanation:

(1) 125 raised to power 16 divided by 5 raised to the power 11

           $\frac{(125)^{16} }{(5)^{11} }$

125 can be written as (5)³ i.e. 5 × 5 × 5

   =        $\frac{(5)^{48} }{(5)^{11} }$

   =        $(5)^{37}$

Formula used

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

(2) $((a)^{m} )^n = a^{mn}$