Choose the correct simplification of (3x3y4z4)(2x3y4z2)

6x^6y^8z^6

Step-by-step explanation:

(3x^3y^4z^4)(2x^3y^4z^2)

= 6x^(3+3) y^(4+4) z^(4+2)

= 6x^6y^8z^6

(6x⁶y⁸z⁶)

Step-by-step explanation:

The given expression is (3x³y⁴z⁴) (2x³y⁴z²) and we have to simplify it.

= 6 (x)³⁺³ (y)⁴⁺⁴ (z)⁴⁺²    [Since xᵃ · xᵇ = xᵃ⁺ᵇ]

Therefore, simplified form of the expression is

(6x⁶y⁸z⁶)

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

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.