Answer:
[tex]\Lagre\Huge\boxed{\dfrac{5}{x^{-2}y^5}=\dfrac{5x^2}{y^5}}[/tex]
Step-by-step explanation:
[tex]a^{-n}=\dfrac{1}{a^n}\to x^{-2}=\dfrac{1}{x^2}\\\\\text{therefore}\\\\\dfrac{5}{x^{-2}y^5}=\dfrac{5}{\frac{1}{x^2}\cdot y^5}=\dfrac{5}{y^5}\cdot\dfrac{x^2}{1}=\dfrac{5x^2}{y^5}[/tex]
The expression 5/x⁻².y⁵ = 5x²/y⁵
Exponents represents how many times a number is being multiplied by it self. Changing a number from denominator to numerator or vice-versa changes the sign of an exponent.
Simplifying the expression 5/x⁻².y⁵
5/x⁻².y⁵
=[ 5/ {(1/x²).y⁵}]
here it is 5 divided by 1 upon x square times y to the power 5 is written we multiply the numerator and the denominator by x² to remove the fraction (1/X²) from the denominator.
After this it will be 5x²/y⁵
Learn more about Exponents here :
https://brainly.com/question/5497425
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