Please help I have tried this question so many times: I cannot type out the exponents because my keyboard does not allow so I'll have to write it in verbal form I'm sorry. What is the simplified form of -9 m to the power of negative two times n to the power of 5 times 2 m to the power of -3 times n to the power of negative 6.
A -18 m to the power of 5 n
B -18/m to the fifth power n
C -18m to the sixth power/n to the power of 30
D -18 m to the power of 6 times n to the power of 30
I've tried everything
-9m^-2*n^5*2m^-3*n^-6 =
-18m^-5*n^-1 = -18/m^5*n.
Answer: B.
To simplify this expression, you can use the properties of exponents and the rules of multiplying powers with the same base. Here's the step-by-step solution:
Given expression: -9m^(-2) * n^5 * 2m^(-3) * n^(-6)
Step 1: Multiply the coefficients (numbers) together. (-9) * 2 = -18.
Step 2: Multiply the variables with the same base together. For m, add the exponents. (-2) + (-3) = -5. For n, add the exponents. 5 + (-6) = -1.
Now we have: -18m^(-5) * n^(-1)
Step 3: To simplify negative exponents, move them to the denominator and make them positive exponents. Remember that a negative exponent indicates the reciprocal of the base.
Rewriting the expression: -18/n * 1/m^5
Step 4: Combine the terms and put them in a simplified form.
Final simplified answer: -18/m^5n
So, the correct answer is B -18/m^5n.