Question

A population of bacteria double in size every minute .The number of bacteria after 5 minutes is 15 x 2 the power 5 .How many are there after 5 minutes?​

Answer 1

Answer:

480

Step-by-step explanation:

they asked after 5 mins which is already given

GIVEN=15*2^5

15*32

480

Answer 2

Answer:

There are 480 bacteria after 5 minutes.

Step-by-step explanation:

Given,population of bacteria double in size every minute.

It is also given number of bacteria after 5 minutes is 15 x 2 the power 5.

We want to find number of bacteria after 5 minutes.

Now,15 x 2 the power 5

$= 15 \times {2}^{5} \\ = 15 \times 2 \times 2 \times 2 \times 2 \times 2 \\ = 30 \times 2 \times 2 \times 2 \times 2 \\ = 60 \times 2 \times 2 \times 2 \\ = 120 \times 2 \times 2 \\ = 240 \times 2 \\ = 480$

This is a word problem of Power of indices .

Some important formulas of Power of indices.

${x}^{0} = 1 \\ {x}^{1} = x \\ {x}^{a} \times {x}^{b} = {x}^{a + b} \\ \frac{ {x}^{a} }{ {x}^{b} } = {x}^{a - b} \\ {x}^{ {y}^{a} } = {x}^{ya} \\ {x}^{ - 1} = \frac{1}{x} \\ {x}^{a} \times {y}^{a} = {(xy)}^{a}$

Power of indices related two more questions:

https://brainly.in/question/20611233

https://brainly.in/question/8929724

#SPJ2