Mathematics: 3^4 × h^5 × g^2 / 3^2 × h^8 could you show me the steps so i can understand easier?

88 square inchesStep-by-step explanation:...

3^4 × h^5 × g^2 / 3^2 × h^8 could you show me the

samuelerlikhman

10.01.2022

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

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

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