Simplify the following expression, and rewrite it in an equivalent form with positive exponents.
-14xy / 42x^5y^8
-14xy/42x^5y^8
=-1/3 x^(1-5) y^(1-8)
=-1/3 x^-4 y^-7
=-1/[3(x^4y^7)]
-14xy/42x^5y^8
42=3*14
-14/42= -14/(3*14)= -1/3
-14xy/42x^5y^8 =
-xy/3x^5y^8
Multiply with x^5*y^8
-xy/3x^5y^8= -x*y*x^5*y^8/3=
-x^6*y^9/3
-14xy/42x^5y^=-xy/3x^5y^8=-x^6*y^9/3
alx answer is wrong
-14xy/42x^5y^8= -xy/3x^5y^8= -x^6*y^9/3
"-14xy/42x^5y^8= -xy/3x^5y^8= -x^6*y^9/3"
please check your answer.
please help me with the factorization,findin the middle term
To simplify the expression -14xy / 42x^5y^8 and rewrite it with positive exponents, we need to cancel out any common factors in the numerator and denominator.
First, let's look at the numerical values. The numerator is -14, and the denominator is 42. Both numbers are divisible by 14, so we can simplify the expression by dividing both the numerator and the denominator by 14:
(-14xy) / (42x^5y^8) = (-1 * 14 * x * y) / (3 * 14 * x^5 * y^8)
This simplifies to:
= (-1/3) * (x / x^5) * (y / y^8)
Now let's simplify the variables. In the second term, x / x^5, we can subtract the exponents since the bases are the same. This gives us:
x / x^5 = x^(1-5) = x^-4
In the third term, y / y^8, we can also subtract the exponents:
y / y^8 = y^(1-8) = y^-7
Putting it all together, the simplified expression with positive exponents becomes:
(-1/3) * x^-4 * y^-7
= -1/3x^(-4)y^(-7)
So, the simplified expression, written with positive exponents, is -1/3x^(-4)y^(-7).