# 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

 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