Evaluate the expression. $\frac { 5 ^ { - 4 } } { 5 ^ { - 6 } }$
A) $\frac { 2 } { 3 }$
B) $- \frac { 1 } { 25 }$
C) $\frac { 1 } { 25 }$
D)25
E)-25

Name: Evaluate the expression. $\frac { 5 ^ { - 4 } } { 5 ^ { - 6 } }$ A) $\frac { 2 } { 3 }$ B) $- \frac { 1 } { 25 }$ C) $\frac { 1 } { 25 }$ D)25 E)-25
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Question

Quizplus · Accepted Answer

Using the laws of exponents, specifically the quotient rule $a^{m}/a^{n} = a^{m-n}$, the expression simplifies to $5^{-4}/5^{-6} = 5^{-4-(-6)} = 5^2 = 25$.

Evaluate the Expression 5−45−6\frac { 5 ^ { - 4 } } { 5 ^ { - 6 } }5−65−4​

Evaluate the Expression $\frac { 5 ^ { - 4 } } { 5 ^ { - 6 } }$