The box provides some examples of how<em> exponents can be used to shorten repeated multiplication</em>. The first, third, and fourth boxes all show how the repeated multiplication of 2, 3, and 5 can all be abbreviated as and
. The only expression which doesn't belong is
, because it's showing how repeated <em>addition</em> can be shortened to <em>multiplication</em>.
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The ball will bounce 72 cm high if dropped from a height of 120 cm
<u>Solution:</u>
Given, The height that a ball bounces varies directly with the height from which it is dropped.
A certain ball bounces 30 cm when dropped from a height of 50 cm.
We have to find how high will the ball bounce if dropped from a height of 120 cm?
Now, according to given information,
When dropped from 50 cm ⇒ bounces 30 cm
Then, when dropped from 120 cm ⇒ bounces "n" cm
Now by Chris cross method, we get,
Hence, the ball bounces 72 cm high.