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Law of Exponent - 2
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Law of Exponent - 2

by Sharina
(Philippines)








































-15x negative 29/25x5=

This fraction can be simplified by subtracting the exponents

or

Rewrite the negative exponent using the general formula: x^(-a) = 1/(x^a)

Comments for Law of Exponent - 2

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Oct 14, 2011
Fractions with Negative Exponents
by: Staff


Question:

by Sharina
(Philippines)

-15x negative 29/25x5=


Answer:

-15x⁻²⁹ / 25x⁵=


This fraction can be simplified by subtracting the exponents:

-15x⁻²⁹ / 25x⁵

= (-1)(3¹)(5¹)(x⁻²⁹) / (5²x⁵)

= (-1)(3¹)(5⁽¹⁻²⁾)(x⁽⁻²⁹⁻⁵⁾)

= (-1)(3¹)(5⁽⁻¹⁾)(x⁽⁻³⁴⁾)

= (-1)(3¹)(5⁻¹)(x⁻³⁴)

= (-3)(5⁻¹)(x⁻³⁴)


This can also be written as the fraction:

= -3 / 5x³⁴


Alternatively, you can rewrite the original fraction as follows:

-15x⁻²⁹ / 25x⁵

= -15 / [(25) (x²⁹)(x⁵)]

= -15 / (25x²⁹x⁵)


Beginning with this format, you can simplify the fraction as follows:

= -15 / (25x⁽²⁹⁺⁵⁾)

= -15 / (25x⁽³⁴⁾)

= -15 / (25x³⁴)

= -3*5 / (5*5*x³⁴)

= [-3 / (5*x³⁴)] * (5/5)

= [-3 / (5*x³⁴)] * (1)

= [-3 / (5*x³⁴)]

= [-3 / (5x³⁴)]

= -3 / (5x³⁴)

= -3 / 5x³⁴



The final answer is: -3 / 5x³⁴, or (-3)(5⁻¹)(x⁻³⁴)




Thanks for writing.

Staff
www.solving-math-problems.com


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