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2 years ago

What is the value of k in the product of powers below? welp

Mathematics

2 answers:

8090 [49]2 years ago

7 0

I guess : k = -1 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!

defon2 years ago

6 0

Answer: The required value of k is -1.

Step-by-step explanation: We are given to find the value of k in the product of the following powers :

$10^{-3}.10.10^k=10^{-3}~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We will be using the following properties of exponents to solve the given equation.

$(i)~a^b.a^c=a^{b+c},\\\\(ii)~a^x=a^y~~~~\Rightarrow x=y.$

From equation (i) we have

$10^{-3}.10.10^k=10^{-3}\\\\\Rightarrow 10^{-3+1+k}=10^{-3}\\\\\Rightarrow 10^{-2+k}=10^{-3}\\\\\Rightarrow -2+k=-3\\\\\Rightarrow k=-3+2\\\\\Rightarrow k=-1$

Therefore, the required value of k is -1.

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2 years ago

Read 2 more answers

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7 0

2 years ago

Please solve with explanation

OverLord2011 [107]

Real life scenarios of acute angles are:

Sighting a ball from the top of a building at an angle of 55 degrees.
The angle between two adjacent vanes of a fan that has 6 vanes

<h3>What are acute angles?</h3>

As a general rule, an acute angle, x is represented as: x < 90

This means that acute angles are less than 90 degrees.

<h3>The real life scenarios</h3>

The real life scenarios that involve acute angles are scenarios that whose measure of angle is less than 90 degrees.

Sample of the real life scenarios that satisfy the above definition are:

Sighting a ball from the top of a building at an angle of 55 degrees.
The angle between two adjacent vanes of a fan that has 6 vanes