Answer:
The value of m is 26.
Step-by-step explanation:
To find the value of m in the expression (x^4x^9)^2, we need to simplify the expression by applying the exponent rules.
First, let's simplify the expression inside the parentheses: x^4x^9. According to the exponent rule for multiplying powers with the same base, we add the exponents:
x^4x^9 = x^(4+9) = x^13.
Now, let's square the simplified expression: (x^13)^2. According to the exponent rule for raising a power to a power, we multiply the exponents:
(x^13)^2 = x^(13*2) = x^26.
Therefore, the expression (x^4x^9)^2 is equivalent to x^26, and the value of m is 26.
