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Write the following expression without using
negative exponents.

Write the following expression without using negative exponents.-example-1
User Fahadash
by
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1 Answer

4 votes

Option B:


$\frac{9{s^2} }{4 {m^3} {p^6}}

Solution:

Given expression:


$(9 m^(-3) p^(-6))/(4 s^(-2))

To write this expression without negative exponents:


$(9 m^(-3) p^(-6))/(4 s^(-2))

Using exponent rule:
a^(-b)=(1)/(a^b)


$m^(-3)=(1)/(m^3)


$p^(-6)=(1)/(p^6)


$s^(-2)=(1)/(s^2)

Substitute these in the expression.


$(9 m^(-3) p^(-6))/(4 s^(-2))=(9 (1)/(m^3) (1)/(p^6) )/(4 (1)/(s^2) )

Denominator of fraction in denominator goes to numerator.

Denominator of fraction in numerator goes to denominator.

Therefore,
s^2 goes to numerator and
m^3p^6 goes to denominator.


$=\frac{9 * {s^2} }{4 {m^3}*{p^6}}


$=\frac{9{s^2} }{4 {m^3} {p^6}}

Option B is the correct answer.


$(9 m^(-3) p^(-6))/(4 s^(-2))=\frac{9{s^2} }{4 {m^3} {p^6}}

User WAMLeslie
by
9.3k points

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