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Simplify.

8g^7h^-3 / 2g4h8

A. g^3 / 4h^5
B. 4g^3 / h^11
C.4g^3h^5
D. 4h^11 / g^3

User Athulpraj
by
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1 Answer

6 votes
The answer is: [B]: "4g³ / h¹¹ " .
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Step-by-step explanation:
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We are given:
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\frac{8g^7h ^-^3{} }{2g^4h^8} ; and asked to:

Simplify:
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We can rewrite the expression:

Note: " 8/2 = 4 " ;

" g⁷ / g⁴ = g⁽⁷⁻⁴⁾ = " ;

" h⁽⁻³⁾ / h⁸ = h⁽⁻³ ⁻ ⁸⁾ = h⁻¹¹ = 1/ h¹¹ ;

We can rewrite the expression as:
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"
(4g^3)/(h^1^1)
" ; which is: Answer choice: [B] .
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User Renato Heeb
by
9.1k points