Personally, I would recommend reading this as a fraction, and splitting up mantissa from the power of 10. (Mantissa refers to the number 1.23 in
.)
![\left(3.6 \times 10^{-5}\right) \div \left(9 \times 10^{-7}\right) = \dfrac{3.6 \times 10^{-5}}{9 \times 10^{-7}} = \dfrac{3.6}9 \times \dfrac{10^{-5}}{10^{-7}}](https://tex.z-dn.net/?f=%5Cleft%283.6%20%5Ctimes%2010%5E%7B-5%7D%5Cright%29%20%5Cdiv%20%5Cleft%289%20%5Ctimes%2010%5E%7B-7%7D%5Cright%29%20%3D%20%5Cdfrac%7B3.6%20%5Ctimes%2010%5E%7B-5%7D%7D%7B9%20%5Ctimes%2010%5E%7B-7%7D%7D%20%3D%20%5Cdfrac%7B3.6%7D9%20%5Ctimes%20%5Cdfrac%7B10%5E%7B-5%7D%7D%7B10%5E%7B-7%7D%7D)
Now just reduce each fraction:
![\dfrac{3.6}9 = \dfrac{36}{90} = \dfrac25 = 0.4](https://tex.z-dn.net/?f=%5Cdfrac%7B3.6%7D9%20%3D%20%5Cdfrac%7B36%7D%7B90%7D%20%3D%20%5Cdfrac25%20%3D%200.4)
![\dfrac{10^{-5}}{10^{-7}} = 10^{-5-(-7)} = 10^{-5+7} = 10^2](https://tex.z-dn.net/?f=%5Cdfrac%7B10%5E%7B-5%7D%7D%7B10%5E%7B-7%7D%7D%20%3D%2010%5E%7B-5-%28-7%29%7D%20%3D%2010%5E%7B-5%2B7%7D%20%3D%2010%5E2)
So
![\left(3.6 \times 10^{-5}\right) \div \left(9 \times 10^{-7}\right) = 0.4 \times 10^2 = \boxed{4 \times 10^1}](https://tex.z-dn.net/?f=%5Cleft%283.6%20%5Ctimes%2010%5E%7B-5%7D%5Cright%29%20%5Cdiv%20%5Cleft%289%20%5Ctimes%2010%5E%7B-7%7D%5Cright%29%20%3D%200.4%20%5Ctimes%2010%5E2%20%3D%20%5Cboxed%7B4%20%5Ctimes%2010%5E1%7D)
since
.
Hello!
Change each mixed number to an improper fraction to make it easier
2 3/8 = 19/8
5 3/4 = 23/4
Now, multiply
19/8 × 23/4 = 437/32 = 13 21/32
Answer ⇒ 13 21/32
Answer:
???
Step-by-step explanation:
25 degrees it shows on the protractor