How do you simplify the expression #(2m^3n^-1)(8m^4n^-2)# using the properties?

Answer 1

Isaiah Anthony

#(16m^7)/n^3#

The operation here is multiplication. The multiplication property which applies to indices is:

If the bases are the same, add the indices.

#2m^3n^-1 xx 8m^4n^-2#

#=2xx8 xxm^3 xx m^4xxn^-1xxn^-2#

#=16m^7n^-3" "larr (x^-m = 1/x^m)#

#=(16m^7)/n^3#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Jace Anderson

To simplify the expression (2m^3n^-1)(8m^4n^-2), we can use the properties of exponents. First, we multiply the coefficients: 2 * 8 = 16. Then, we multiply the variables with the same base, m and n, by adding their exponents: m^3 * m^4 = m^(3+4) = m^7, and n^-1 * n^-2 = n^(-1+(-2)) = n^-3. So, the simplified expression is 16m^7n^-3.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.