Which expression is equivalent to (2mn)^4/6m^-3n^-2? assume m and n cannot equal 0
2 answers:
Answer:
=8/3m⁷n⁶
Step-by-step explanation:
Given the expression (2mn)⁴/6m⁻³n⁻², we first solve the numerator
(2mn)⁴ = 16m⁴n⁴
The new expression becomes 16m⁴n⁴/6m⁻³n⁻²
We now divide the coefficients and the exponents as follows:
=16/6ₓ(m⁴/m⁻³)×(n⁴/n⁻²)
Division between indices to the same base we subtract the powers.
4-⁻3=7
4-⁻2=6
=8/3m⁷n⁶
Answer:
the asnwer is A
Step-by-step explanation:
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