The rule for exponents of exponents is:
a^b^c=a^(b*c), in this case:
x^(3/8)^(2/3)
x^((3/8)*(2/3))
x^(6/24)
x^(1/4)
So x^(1/4) is equal to the fourth root.
Answer:
Step-by-step explanation:
![\text{Use}\\\\a^\frac{m}{n}=\sqrt[n]{a^m}\\\\a^n\cdot a^m=a^{n+m}\\-----------------\\\\length=\sqrt[3]{81}=\sqrt[3]{3^4}=3^\frac{4}{3}\\\\width=3^\frac{2}{3}\\\\\text{The area of a rectangle:}\ A=width\cdot length.\\\text{Substitute:}\\\\A=3^\frac{4}{3}\cdot3^\frac{2}{3}=3^{\frac{4}{3}+\frac{2}{3}}=3^{\frac{4+2}{3}}=3^\frac{6}{3}=3^2=9](https://tex.z-dn.net/?f=%5Ctext%7BUse%7D%5C%5C%5C%5Ca%5E%5Cfrac%7Bm%7D%7Bn%7D%3D%5Csqrt%5Bn%5D%7Ba%5Em%7D%5C%5C%5C%5Ca%5En%5Ccdot%20a%5Em%3Da%5E%7Bn%2Bm%7D%5C%5C-----------------%5C%5C%5C%5Clength%3D%5Csqrt%5B3%5D%7B81%7D%3D%5Csqrt%5B3%5D%7B3%5E4%7D%3D3%5E%5Cfrac%7B4%7D%7B3%7D%5C%5C%5C%5Cwidth%3D3%5E%5Cfrac%7B2%7D%7B3%7D%5C%5C%5C%5C%5Ctext%7BThe%20area%20of%20a%20rectangle%3A%7D%5C%20A%3Dwidth%5Ccdot%20length.%5C%5C%5Ctext%7BSubstitute%3A%7D%5C%5C%5C%5CA%3D3%5E%5Cfrac%7B4%7D%7B3%7D%5Ccdot3%5E%5Cfrac%7B2%7D%7B3%7D%3D3%5E%7B%5Cfrac%7B4%7D%7B3%7D%2B%5Cfrac%7B2%7D%7B3%7D%7D%3D3%5E%7B%5Cfrac%7B4%2B2%7D%7B3%7D%7D%3D3%5E%5Cfrac%7B6%7D%7B3%7D%3D3%5E2%3D9)
To find p, you would first subtract the 4 from either side of the equation. You would then have 3p+15. Then you would divide by 3 on both sides to get 9=5.
Therefore, p=5
Answer:
d) 9 years
Step-by-step explanation:
let present age as 'x'.
then, x=2x-3(x-6)
x=2x-3x+18
x= -x+18
2x=18
x=18/2
x=9
Step-by-step explanation:
29-19/9-7=5=slope
y-y1=slope(x-x1)=
y-19=5(x+7)=
y=5x+35+19=
y=5x+54
