Simplify!
3x^5 over 15x
A. x^4 over 5
B. 1/5
C. x^6 over 5
D. x^5 over 5
thank you!
I get A
why not use actual math symbols instead of words?
3x^5 / 15x
my keyboard is not that advanced :(
To simplify the expression 3x^5/15x, you need to simplify both the numerator and denominator separately, and then simplify the resulting expression.
First, let's simplify the numerator, which is 3x^5. Since x is raised to the power of 5, we can divide each exponent in the numerator by the denominator's exponent, which is 1. This gives us 3x^(5-1) = 3x^4.
Now, let's simplify the denominator, which is 15x. Again, we divide the exponents of x, which gives us x^(1-1) = x^0. Any non-zero number raised to the power of 0 is always equal to 1. Therefore, the denominator becomes 15 * 1 = 15.
Finally, we have 3x^4/15. To simplify further, we can divide both the numerator and denominator by the greatest common factor (GCF) to reduce the fraction. The GCF of 3 and 15 is 3, and the GCF of x^4 and 15 is 1. Dividing both by 3 gives us (3/3) * (x^4/1) = 1 * x^4 = x^4.
Therefore, the simplified expression is x^4.
So, the answer is A. x^4 over 5.