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seraphim [82]
3 years ago
8

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

Mathematics
2 answers:
8090 [49]3 years ago
7 0
I guess : k = -1 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!
defon3 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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Answer: Mark me as brainlist

1.

a. 5

b.5300

c.-891

d.-312

2.

a. y=3

b.x=-3

c.z=4

d. y=4.33

Step-by-step explanation:

1

a.Solution:

-32÷8×2+2+1

=-4×2+2+1

=-8+2+1

=-8+3

=-5

b. Solition:

53×9+109×53

=477+5777

=5300

c. Solution:

-891

d. Solution:

-63×12+12×37

=-756+444

-312

2.

a. Solution:

5y-3+3=-18+3

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y=-15/5

y=3

b. Solution:

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x=-3

c. Solution:

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4z-20+20=-20+20

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4 0
3 years ago
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