Question 1 Hannan wants to estimate the number of eets in a lase.
She sacenes and
was Soals
She returns the 50 eels to the lake.
The next day Hannah catches 400 ells.
of these 400 eels, 10 are ringed
Work out an estimate for the total number
of eels in the lake.

2000 eels

Step-by-step explanation:

Let us represent the total estimate of the eels = x

She returns the 50 eels to the lake.

The next day Hannah catches 400 eels, of these 400 eels, 10 are ringed.

To solve the above question, we have the following:

50/x = 10/400

Cross Multiply

10x = 50 × 400

x = 50 × 400/10

x = 2000 eels

Therefore, the total estimate of the eels in the lake = 2000 eels

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

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