Simplify the given expression.

Mathematics

2 answers:

andrew-mc [135]2 years ago

8 0

Answer:

C. $\frac{32g^2}{3h^4}$

Step-by-step explanation:

Paha777 [63]2 years ago

6 0

Answer:

Option C is correct

Step-by-step explanation:

$\frac{\frac{h}{3g^2}}{\frac{h^5}{32g^7}}$

We need to simplify the above expression.

We can write the above expression as:

$\frac{h}{3g^2}\div\frac{h^5}{32g^7}$

Changing division sign into multiplication and reciprocating the second term we get,

$\frac{h}{3g^2}*\frac{32g^7}{h^5}$

Applying the power rule: a^m/a^n = a^{m-n}

Solving:

$\frac{h*32g^7}{3g^2*h^5}\\\\\frac{32g^{7-2}}{3h^{5-1}}\\\frac{32g^5}{3h^4}$

So, Option C is correct.

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