Question

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

A. G^7h
B. G^3h
C. G^7h^7
D. G^3/h^7

Answer 1

Use the rules of exponents to simplify the expression.

`\large\displaystyle\text{$\begin{gathered}\sf (g^(5)h^(4) )/(g^(2)h^(3) ) \end{gathered}$}`

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

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

Subtract 2 from 5.

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

Subtract 3 from 4.

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

For any term t, t¹ =t.

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

Therefore, the correct option is "B".