Answer:
The exponent "product rule" tells us that, when multiplying two powers that have the same base, you can add the exponents. ... Adding the exponents is just a short cut! Power Rule. The "power rule" tells us that to raise a power to a power, just multiply the exponents.
Answer:
12x +54
Step-by-step explanation:
3x + 9(X+6) =
Distribute
3x+9x +54
12x +54
Answer:
![x^{\frac{7}{3} }](https://tex.z-dn.net/?f=x%5E%7B%5Cfrac%7B7%7D%7B3%7D%20%7D)
Step-by-step explanation:
The given expression is
![\sqrt[3]{x^{7} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E%7B7%7D%20%7D)
There's a exponent which relates fractional exponents and roots, that is
![\sqrt[n]{x^{m} } = x^{\frac{m}{n} }](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Bx%5E%7Bm%7D%20%7D%20%3D%20x%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%20%7D)
So, if we apply this property, the results would be
![\sqrt[3]{x^{7} }=x^{\frac{7}{3} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E%7B7%7D%20%7D%3Dx%5E%7B%5Cfrac%7B7%7D%7B3%7D%20%7D)
Therefore, the right answer is the third choice ![x^{\frac{7}{3} }](https://tex.z-dn.net/?f=x%5E%7B%5Cfrac%7B7%7D%7B3%7D%20%7D)
Answer is 49/81, or (7/9)²
step by step in the pic below