Answer:
1) No. 2) [tex]\sqrt{x}[/tex] 3)4x 4) [tex]x^{\frac{3}{2}}[/tex] or [tex]\sqrt{x^3}[/tex]5) B and D.
Step-by-step explanation:
Check the pictures below
1) [tex]x^{3} *x^{3}*x^{3}=x^{3+3+3}=x^{9}[/tex]x^(3*3*3)=x^{27}[/tex]
For the first, we must just repeat the base e sum the exponents
For the second one, we must multiply the exponents.
According to the Exponents Law.
[tex]x^{m}*x^{n} =x^{m+n}\\x^{m*n} =x^{mn}[/tex]
2)
Here we have three combined Exponent laws, namely:
3)
First on multiplying keep the 4 outside the square root,
4) The starting point of it is reminding that in a fraction, whenever we divide two fractions we have to operate the product of the first fraction times the inverse of the second one.
Then we apply the Exponent Law of a divison between same base powers, repeating the base subtracting the exponents, and simplifying it:
[tex]x^{\frac{4}{6}}=x^{\frac{3}{2}}[/tex]
5)
Check below
b and d, are equivalent between themselves since the same quantities of x are displayed. Notice, all we have used. Exponent Laws and Power Properties
