9x^4/16y^6
How to I simplify it must be written in exponential form and no negative exponents. HELP
nothing divides out, variables are different, so ....
9x^4 y^6/16
thank you
To simplify the expression (9x^4)/(16y^6) and write it in exponential form without negative exponents, follow these steps:
Step 1: Identify the common factors.
In the numerator (9x^4), the only common factor is 9.
In the denominator (16y^6), the common factors are 2, 2, 2, 2 (which can be written as 2^4), and y, y, y, y, y, y (which can be written as y^6).
Step 2: Cancel out the common factors.
Divide the common factors in the numerator and the denominator to simplify further. In this case, we can divide 9 by 2^4 and x^4 by y^6.
(9x^4)/(16y^6) = (9 / (2^4)) * (x^4 / y^6)
Step 3: Simplify further.
Evaluate 9 / 2^4 to get the simplified value of the constant term.
Now, the expression becomes:
(9 / (2^4)) * (x^4 / y^6) = (9 / 16) * (x^4 / y^6)
So, the simplified expression in exponential form without negative exponents is:
(9 / 16) * (x^4 / y^6)