Respuesta :

Answer:

[tex]\frac{a^2^0b^5}{c^5d^3^0}[/tex]

Step-by-step explanation:

When one raises a value to an exponent, one can multiply the current value of the exponent by the number it is raised to. This is the case because raising a value to an exponent is another way of representing that value times itself the number of times that the exponent indicates. Remember, if no exponent is written, then the exponent is (1).

One can apply this here by multiplying every exponent in this problem by (5) since the fraction is raised to the power (5).

[tex](\frac{a^4b}{cd^6})^5[/tex]

[tex]=\frac{(a^4^*^5)(b^1^*^5)}{(c^1^*^5)(d^6^*^5)}[/tex]

Simplify,

[tex]=\frac{a^2^0b^5}{c^5d^3^0}[/tex]