Question

Simplify the following expression: 21m^42n^32p^10÷3m^21n^16p^5

a) 7m^21n^16p^5
b) 6m^21n^16p^5
c) 7m^21n^16p^5
d) 8m^21n^16p^5

Answer 1

To simplify the expression 21m^42n^32p^10 ÷ 3m^21n^16p^5, divide the coefficients and subtract the exponents for each variable. The simplified expression is 7m^21n^16p^5.

Step-by-step explanation:

To simplify the expression 21m^42n^32p^10 ÷ 3m^21n^16p^5, we can divide the coefficients separately and then subtract the exponents for each variable.

Dividing the coefficients, we get 21 ÷ 3 which is 7.

Next, subtracting the exponents of m, we get 42 - 21 = 21. Similarly, subtracting the exponents of n, we get 32 - 16 = 16. And subtracting the exponents of p, we get 10 - 5 = 5.

Putting it all together, the simplified expression is 7m^21n^16p^5. Therefore, option (a) 7m^21n^16p^5 is the correct answer.