Answer:
24.8 millimeters
Step-by-step explanation:
its the right anwnser in edge i hate the people that put an i dont know for pionts .
Answer:
![\large\boxed{\dfrac{1}{36a^4b^{10}}}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%5Cdfrac%7B1%7D%7B36a%5E4b%5E%7B10%7D%7D%7D)
Step-by-step explanation:
![\left(\dfrac{\left(2a^{-3}b^4\right)^2}{\left(3a^5b\right)^{-2}}\right)^{-1}\qquad\text{use}\ a^{-1}=\dfrac{1}{a}\\\\=\dfrac{\left(3a^5b\right)^{-2}}{\left(2a^{-3}b^4\right)^2}\qquad\text{use}\ (ab)^n=a^nb^n\\\\=\dfrac{3^{-2}(a^5)^{-2}b^{-2}}{2^2(a^{-3})^2(b^4)^2}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=\dfrac{3^{-2}a^{(5)(-2)}b^{-2}}{4a^{(-3)(2)}b^{(4)(2)}}=\dfrac{3^{-2}a^{-10}b^{-2}}{4a^{-6}b^8}\qquad\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}](https://tex.z-dn.net/?f=%5Cleft%28%5Cdfrac%7B%5Cleft%282a%5E%7B-3%7Db%5E4%5Cright%29%5E2%7D%7B%5Cleft%283a%5E5b%5Cright%29%5E%7B-2%7D%7D%5Cright%29%5E%7B-1%7D%5Cqquad%5Ctext%7Buse%7D%5C%20a%5E%7B-1%7D%3D%5Cdfrac%7B1%7D%7Ba%7D%5C%5C%5C%5C%3D%5Cdfrac%7B%5Cleft%283a%5E5b%5Cright%29%5E%7B-2%7D%7D%7B%5Cleft%282a%5E%7B-3%7Db%5E4%5Cright%29%5E2%7D%5Cqquad%5Ctext%7Buse%7D%5C%20%28ab%29%5En%3Da%5Enb%5En%5C%5C%5C%5C%3D%5Cdfrac%7B3%5E%7B-2%7D%28a%5E5%29%5E%7B-2%7Db%5E%7B-2%7D%7D%7B2%5E2%28a%5E%7B-3%7D%29%5E2%28b%5E4%29%5E2%7D%5Cqquad%5Ctext%7Buse%7D%5C%20%28a%5En%29%5Em%3Da%5E%7Bnm%7D%5C%5C%5C%5C%3D%5Cdfrac%7B3%5E%7B-2%7Da%5E%7B%285%29%28-2%29%7Db%5E%7B-2%7D%7D%7B4a%5E%7B%28-3%29%282%29%7Db%5E%7B%284%29%282%29%7D%7D%3D%5Cdfrac%7B3%5E%7B-2%7Da%5E%7B-10%7Db%5E%7B-2%7D%7D%7B4a%5E%7B-6%7Db%5E8%7D%5Cqquad%5Ctext%7Buse%7D%5C%20%5Cdfrac%7Ba%5En%7D%7Ba%5Em%7D%3Da%5E%7Bn-m%7D)
![=\dfrac{3^{-2}}{4}a^{-10-(-6)}b^{-2-8}=\dfrac{3^{-2}}{4}a^{-4}b^{-10}\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}\\\\=\dfrac{1}{3^2}\cdot\dfrac{1}{4}\cdot\dfrac{1}{a^4}\cdot\dfrac{1}{b^{10}}=\dfrac{1}{36a^4b^{10}}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B3%5E%7B-2%7D%7D%7B4%7Da%5E%7B-10-%28-6%29%7Db%5E%7B-2-8%7D%3D%5Cdfrac%7B3%5E%7B-2%7D%7D%7B4%7Da%5E%7B-4%7Db%5E%7B-10%7D%5Cqquad%5Ctext%7Buse%7D%5C%20a%5E%7B-n%7D%3D%5Cdfrac%7B1%7D%7Ba%5En%7D%5C%5C%5C%5C%3D%5Cdfrac%7B1%7D%7B3%5E2%7D%5Ccdot%5Cdfrac%7B1%7D%7B4%7D%5Ccdot%5Cdfrac%7B1%7D%7Ba%5E4%7D%5Ccdot%5Cdfrac%7B1%7D%7Bb%5E%7B10%7D%7D%3D%5Cdfrac%7B1%7D%7B36a%5E4b%5E%7B10%7D%7D)
Answer:
Estimate is 150 and actual product is 138.
Step-by-step explanation:
To estimate products, we round the numbers to nearest unit place, 10th, 100th, 1000th, and so on.
Given are the numbers 3 and 46.
We can round 46 ≈ 50.
So Estimation would be 3 x 46 ≈ 3 x 50
3 times 5 is 15 and we can add zeros after it.
So estimation is 3 x 46 ≈ 150.
Now actual product would be...
3 times 6 is 18, so we note down 8 and 1 goes to carry over 4.
3 times 4 is 12 and carry 1 will be added in it, so 12 + 1 = 13.
It means the actual product is 3 x 48 = 138.
Answer:
75
Step-by-step explanation:
175= 25+2a
Answer:
2,5 and 7
Step-by-step explanation:
<em>factors </em><em>of </em><em>1</em><em>/</em><em>x-2</em><em> </em><em>are </em><em>the </em><em>use </em><em>of </em><em>integers </em><em>that </em>
<em>we </em><em>can </em><em>split</em>