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velikii [3]
3 years ago
9

3^4 × h^5 × g^2 / 3^2 × h^8 Could you show me the steps so I can understand easier?

Mathematics
1 answer:
hoa [83]3 years ago
7 0

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}}}

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