Answer:
There are 101 marbles in each bag and 10 marbles left over
Step-by-step explanation:
We can use the modulus to find out left over. The modulus is the remainder of the division from one number by another number. For example, 7 % 2 = 1. When you divide 7 by 2, division is 3 but the remainder is 1.
1525 % 15 = 10 marbles are left over
Now, we know that 1525 - 10 = 1515 marbles are equally put into each bag. That means each bag contains
1515 / 15 = 101 marbles
Answer:
![\large\boxed{\left(\dfrac{16a^8}{c^{12}}\right)^\frac{1}{4}=\dfrac{2a^2}{c^3}}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%5Cleft%28%5Cdfrac%7B16a%5E8%7D%7Bc%5E%7B12%7D%7D%5Cright%29%5E%5Cfrac%7B1%7D%7B4%7D%3D%5Cdfrac%7B2a%5E2%7D%7Bc%5E3%7D%7D)
Step-by-step explanation:
![\left(\dfrac{16a^8}{c^{12}}\right)^\frac{1}{4}\qquad\text{use}\ \left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}\ \text{and}\ (a^n)^m=a^{nm}\ \text{and}\ (ab)^n=a^nb^n\\\\=\dfrac{(2^4a^8)^\frac{1}{4}}{(c^{12})^\frac{1}{4}}=\dfrac{(2^4)^\frac{1}{4}(a^8)^\frac{1}{4}}{c^{12\cdot\frac{1}{4}}}=\dfrac{2^{4\cdot\frac{1}{4}}\cdot a^{8\cdot\frac{1}{4}}}{c^3}=\dfrac{2^1\cdot a^2}{c^3}=\dfrac{2a^2}{c^3}](https://tex.z-dn.net/?f=%5Cleft%28%5Cdfrac%7B16a%5E8%7D%7Bc%5E%7B12%7D%7D%5Cright%29%5E%5Cfrac%7B1%7D%7B4%7D%5Cqquad%5Ctext%7Buse%7D%5C%20%5Cleft%28%5Cdfrac%7Ba%7D%7Bb%7D%5Cright%29%5En%3D%5Cdfrac%7Ba%5En%7D%7Bb%5En%7D%5C%20%5Ctext%7Band%7D%5C%20%28a%5En%29%5Em%3Da%5E%7Bnm%7D%5C%20%5Ctext%7Band%7D%5C%20%28ab%29%5En%3Da%5Enb%5En%5C%5C%5C%5C%3D%5Cdfrac%7B%282%5E4a%5E8%29%5E%5Cfrac%7B1%7D%7B4%7D%7D%7B%28c%5E%7B12%7D%29%5E%5Cfrac%7B1%7D%7B4%7D%7D%3D%5Cdfrac%7B%282%5E4%29%5E%5Cfrac%7B1%7D%7B4%7D%28a%5E8%29%5E%5Cfrac%7B1%7D%7B4%7D%7D%7Bc%5E%7B12%5Ccdot%5Cfrac%7B1%7D%7B4%7D%7D%7D%3D%5Cdfrac%7B2%5E%7B4%5Ccdot%5Cfrac%7B1%7D%7B4%7D%7D%5Ccdot%20a%5E%7B8%5Ccdot%5Cfrac%7B1%7D%7B4%7D%7D%7D%7Bc%5E3%7D%3D%5Cdfrac%7B2%5E1%5Ccdot%20a%5E2%7D%7Bc%5E3%7D%3D%5Cdfrac%7B2a%5E2%7D%7Bc%5E3%7D)
Answer:
6747978
Step-by-step explanation:
Mndjdbnsjrjjeijdkd