simplify the math please

Question

please simplify  (5).(3x5+y-2+z-1)
 
also simplify   8x-3y4z8 divided by 6x9y-5z4

Answer 1

assuming the (5). means 5 times what is in parentheses, we use the rule of multiply/divide before addition or subtraction, so inside the parentheses we get 15+y-2+z-1, and then combining, we get 12 + y + z. You then multiply each component inside the parentheses by 5, so final is 60+5y+5z.

 

If any of those are exponents then the problem is not written correctly to solve it.

 

For the next one, I am assuming 4z8 means 4z⁸, and 5z4 means 5z⁴ . Are you sure this is all correct? as stated these expressions cannot be simplified further, except to split the two numerator expressions and divide them by the denominator.

 

If what you mean is 8x^-3y⁴z⁸/6x⁹y^-5z⁴, then we have x³ and x⁹ in numerator and denominator, and we can divide them by subtracting exponents. This gives us x⁶ in the denominator, y⁹ in the numerator (i.e. 4 - (-5) is 9) and z⁴ in the numerator. This becomes 8y⁹z⁴/6x⁶ . Now divide out the constants and you have the answer.

 

Dorene O