what is the simplified form of (81x^4y^9)^1/2

C 9 *x^2 y^ 4 y^ 1/2

Step-by-step explanation:

(81x^4y^9)^1/2

We know that (ab)^1/2 = a^1/2  *b^1/2

(81) ^1/2 * (x^4) ^1/2  * (y^9)^1/2

We know that a^b^c = a^ (b*c)

(81) ^1/2 * (x^(4*1/2)   * (y^(9*1/2)

9 *x^2 y^ 9/2

We know that y^9/2 = y^4 y^1/2

9 *x^2 y^ 4 y^ 1/2

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

hello from mrbilldoesmath!

answer:

x - 3

discussion:

x^2 - 9 = (x-3) (x+3)   so

(x^2-9)/ (x + 3) = x-3

you,

mrb