To simplify the expression c^12d^3/c^11d^5 e^-3, we can use the exponent properties of division and negative exponents.
First, let's simplify the expression inside the numerator: c^12d^3/c^11d^5.
When dividing with the same base, we subtract the exponents: c^12/c^11 = c^1 = c.
Also, when dividing with the same base, we subtract the exponents: d^3/d^5 = d^(3-5) = d^(-2) = 1/d^2.
The expression now becomes: c/d^2 e^-3.
Next, let's simplify the expression with the negative exponent: e^-3.
When the exponent is negative, we can move the base to the denominator and change the sign of the exponent: e^-3 = 1/e^3.
Putting it all together, the simplified expression is (c/d^2)(1/e^3), which can be rearranged as (ce^3)/(d^2), or a) ce^3/d^2.
Therefore, the correct answer is a) ce^3/d^2.
Simplify the expression using exponent properties.
c12d^3/c^11d^5 e^-3
a) ce^3/d^2
b) 1/cd^2 e^3
c) c^23 d^8 e^3
d) cd^2e^3
1 answer
1 answer