Numbers
Letters
Letters & Numbers
Scientific notation
Random
100

`4^((5*-2)/2)`

`1/4^5`

`1/1024`

100

`(\root[n](b+n))^n-(b+n)`

`0`

100

`(x^3/y^4)^(-1/3)`

`y^(4/3)/x`

100

Write in Scientific notation

`540000000`

`5.4*10^8`

100

Simplify:

`2sqrt50-4sqrt18-9sqrt32`

`-38sqrt2`

200

`-(16)^(5/4)`

`-32`

200

`((a+b)^-b/(a+b)^(-a))(a+b)`

`(a+b)^(a-b+1)`

200

`(-3sqrt(6xy^3))sqrt(6y)`

`-18y^2sqrtx`

200

Write in scientific notation

`0.000000032`

`3.2*10^-8`

200

Simplify:

`(2sqrta+sqrtb)(3sqrta-4sqrtb)`

`6a-5sqrt(ab)-4b`

300

`(2^-1/2^-2)^-2`

`1/4`

300

`((b+c)rootx(x))/(brootx(x)+crootx(x))^x`

`(b+c)^(1-x)x^((1-x)/x)`

300

`root3(108x^4y^8)`

`3xy^2root3(4xy^2)`

300

Perform the calculation in scientific notation

`(40,000,000*300,000)/0.3`

`4*10^13`

300

Solve

`sqrt(t^2+9t-1)=3`

`x=-10 &1`

400

`(2^-2/2^(-3/6))^(-4/3)/2`

`2`

400

`((w^-wb^zx)/(wb^-zx^z))^(-wbx)/(w^((wbx+bx)w)b^(-bxwz)x^(-wbx)`

`b^3x^(wbxz)`

400

`(4sqrt(8x)-sqrt(2y^4))(sqrt(8x)+3sqrt(2y^4))`

`32x+44y^2sqrtx-6y^4`

400

Preform the calculation

`4.5*(4,000,000)^(3/2)/(9,000,000)`

`2000`

`2*10^3`

400

Solve (and check the answer!!!): 

`sqrt(x+1)-sqrt(2x)=-1`

Only

`x=8`

500

`((2^(2^2)/2^2)-(2^(2)/(2^2+2^2+2^2+2))^-1)^-1`

`2`

500

`((a^(b^c))^-b/root(b^c)(a^(b^c)))^-a`

`a^(a+ab^(1+c))`

500

`(4(R^4/R^(2+1))root3(24)+3Rroot3(3))R-2root3(81R^6)`

`5R^2root3(3)`

500

Perform the calculation

`((0.00004*300)/(0.00002))^(-3)`

`6*10^-6`

500

The formula

`S=sqrt(30Df)`

 is used to approximate the speed S, where D represents the length of the skid marks in feet and f represents the coefficient of friction for the road surface. Suppose that the coefficient of friction is 0.38. How far will a car skid, to the nearest foot, when the brakes are applied at 75 miles per hour?

`75^2/(3*3.8)`

`or 493 feet`