Question

Convert each expression into exponential form.
1. 1/x^2
2. 2/x^3
3. 4/x^2
4.1/2√(x)
5. 3/ 2√(x^3)

Answer 1

$$
1. \frac 1{x^2}=x^{-2} \\
2. \frac 2{x^3} =2x^{-3}\\
3. \frac 4{x^2} =4x^{-2}\\
4. \frac 1{2\sqrt x} =\frac {1}{2x^{1/2}}=\frac {x^{-1/2}}{2}\\\\
5. \frac 3{ 2\sqrt{x^3}}=\frac {3}{2x^{3/2}}=\frac {3x^{-3/2}}{2}\\\\
$$
Questions?

Answer 2

oh nice, awesome. nope! thanks man

Answer 3

oh also what is √3(x^2)?

Answer 4

$$
\huge \sqrt{3x^2}=\left ( 3x^2\right )^{\frac 1 2}= 3^{\frac 1 2}x^{\frac 2 2}=3^{\frac 1 2}x^1=3^{\frac 1 2}x\\\huge=\sqrt 3x=x\sqrt 3
$$