(x^m x b^3)^2(k^5)^3 = x^18 k^15
what is the value of m
O m =6
O m =7
O m=5
O m=4
To find the value of m, we can simplify the given expression.
Starting with (x^m * b^3)^2(k^5)^3:
= (x^(2m) * b^6)(k^15)
Now, comparing this simplified expression to the given expression (x^18 * k^15):
x^(2m) * b^6 * k^15 = x^18 * k^15
From here, we can see that the exponents of x and k on both sides are equal. Therefore, we can equate the exponents of x:
2m = 18
Dividing both sides by 2, we get:
m = 9
Thus, the value of m is:
m = 9
Therefore, none of the provided options (m = 6, m = 7, m = 5, m = 4) is correct.