Which expression is equivalent to
27
x
4
x
2
? Assume that the denominator does not equal zero.
A.
27
x
B.
27
x
2
C.
27
x
D.
54x
Which expression is equivalent to
27
x
4
x
2
? Assume that the denominator does not equal zero.
A.
27
x
B.
27
x
2
C.
27
x
D.
B.
27
x
2
To find the expression equivalent to 27x^4x^2, we can simplify using the properties of exponents.
When we multiply variables with the same base, we add their exponents. Therefore, to simplify 27x^4x^2, we can add the exponents of x.
x^4 multiplied by x^2 is x^(4+2), which simplifies to x^6.
So, the equivalent expression is 27x^6.
Therefore, the correct answer is C. 27x^6.