Which shows the following expression after the negative exponents have been eliminated? the fraction with numerator m to the 7th power n cubed and denominator m n inverse , m is not equal to 0 , n is not equal to 0
Answer
A
the fraction with numerator m n and denominator m to the 7th power n
B
the fraction with numerator m to the 7th power n cubed n and denominator m
C
the fraction with numerator m to the 7th power n cubed and denominator m times negative n
D
m to the 7th power n cubed m n
Explanation
Divide powers with the same base by subtracting exponents: m⁷ ÷ m = m⁶. For n, dividing by n⁻¹ is equivalent to multiplying by n, so n³ ÷ n⁻¹ = n⁴. Choice B represents this as (m⁷n³ · n)/m, which simplifies to m⁶n⁴.
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