Question

Im really stressed and i really need help. No one is helping me on my question.... please HELP!!

Answer 1

1)  4 sqrt x^3   =====>    4x^3/2  =====>  4x sqrt x

Steps:

4 sqrt x^3

sqrt x^3  

x^3/2

Answer  ======>   4x^3/2  =====>  4x sqrt x

2):     1 / x^ -1   =====>   x

Steps:

1 / x^ -1

Apply exponent rule:

a^ -1   =    1 / a

x^ - 1    =   1 / x

1 / 1 / x

Apply fraction rule:

1 / b / c     =    c / b

x / 1

Apply Rule:

a / 1     =    a

Answer  ========>    x

3):   10 sqrt x^5 * x^4 *  x^2   =    10^17/2  ====>  100000000 *  10.5   (Decimal: 316227766 ).

Steps:

10 sqrt x^5 * x^4 *  x^2

Apply exponent rule:

a^b * a^c   =    a^b  +  c

x^4x^2     =    x^4 + 2   =   x^6

10x^6 sqrt x^5

sqrt x^5    =     x^5/2

10x^6x^5/2

Apply exponent rule:

a^b * a^c   =     a^b  +   c

x^6x^5/2    =     x^5/2   +   6     =   x^17/2

Answer   ====>   10x^17/2 ==>   100000000 *  10.5   (Decimal: 316227766 ).

4):   x^1/3 * x^1/3 * x^1/3     =      x^3 / 27  ======>  x^1/9

Steps:

x^1/3 * x^1/3 * x^1/3

Apply rule:

a^1     =     a

x^1      =    x

x/3 * x/3 * x/3

Multiply fractions:

a/b *  c/d    =     a/b * c/d

xxx / 3*3*3

Multiply numbers:

3*3*3       =     27

Answer   =========>   x^3 / 27  =======>  x^1/9

Hope that helps!!!!                                   : )