Question

Choose the correct simplification of the expression ( expression in photo! )

Answer 1

Use the rules of exponents to simplify the expression.

$\large\displaystyle\text{ \begin{gathered}\sf \frac{g^{5}h^{4} }{g^{2}h^{3} } \end{gathered} }$

To divide powers with the same base, subtract the exponent in the denominator from the exponent in the numerator.

• $\large\displaystyle\begin{gathered}\sf g^{5-2}h^{4-3} \end{gathered}$

Subtract 2 from 5.

• $\large\displaystyle\begin{gathered}\sf g^{3 }h^{3-2} \end{gathered}$

Subtract 3 from 4.

• $\large\displaystyle\begin{gathered}\sf g^{3 }h^{1} \end{gathered}$

For any term t, t¹ =t.

• $\boxed{\large\displaystyle\begin{gathered}\sf g^{3}h \end{gathered} }$

Therefore, the correct option is "B".