Question

3^4 × h^5 × g^2 / 3^2 × h^8

Could you show me the steps so I can understand easier?

Answer 1

Answer:

$\dfrac{3^{2} \times g^{2}}{h^{3} }$

Step-by-step explanation:

We have to simplify the following mathematical expression.

The expression is $\dfrac{3^{4} \times h^{5} \times g^{2}}{3^{2} \times h^{8}   }$

Now, $\dfrac{3^{4} \times h^{5} \times g^{2}}{3^{2} \times h^{8}   }$

= $3^{(4 - 2)} \times h^{(5 - 8)} \times g^{2}$

{Since, all the terms are in product form, so, we can treat them separately}

{We know the formula of exponent $\dfrac{x^{a} }{x^{b} }  = x^{(a - b)}$}

= $3^{2} \times h^{- 3} \times g^{2}$

= $\dfrac{3^{2} \times g^{2}}{h^{3} }$ (Answer)

{Since, we know, $x^{- a} = \dfrac{1}{x^{a}}$}