Answer:
m = 4
Step-by-step explanation:
The complete question is:
Given:
6.33 x 10
⁹ / 1.79 x 10⁵ ≈ 3 x
To find:
To best estimate the quotient in scientific notation. what number should replace m?
Solution:
The equation is:
6.33 x 10
⁹ / 1.79 x 10⁵ = 3 x
Let x = 9 and y = 5 then the above equation becomes:
6.33 x / 1.79 x
= 3 x
Since we know that the exponent property is:
quotient
Now converting the given equation in the form above we get:
6.33 / 1.79 x
6.33 / 1.79 x
Now the quotient is 6.33/1.79 ≈ 3.536313
quotient x
3.536313 x
Since 9-5 = 4 So
3.536313 x
3.536 x
Hence
6.33 x 10
⁹ / 1.79 x 10⁵ ≈ 3.5 x
Hence m = 4