Simplify the following algebraic expression and express your answer using positive exponents only. $\frac { y ^ { - 5 } } { y ^ { 7 } }$
A) $y ^ { 2 }$
B) $\frac { 1 } { y ^ { 12 } }$
C) $\frac { 1 } { y ^ { 2 } }$
D) $y ^ { 12 }$

Question

Quizplus · Accepted Answer

When dividing exponential expressions with the same base, you subtract the exponents. In this case, we have:
$$\frac{y^{-5}}{y^7}=y^{-5-7}=y^{-12}=\frac{1}{y^{12}}$$
Therefore, the best choice is B.

Simplify the Following Algebraic Expression and Express Your Answer Using y−5y7\frac { y ^ { - 5 } } { y ^ { 7 } }y7y−5​

Simplify the Following Algebraic Expression and Express Your Answer Using $\frac { y ^ { - 5 } } { y ^ { 7 } }$