(y^5)^? =y^50
?=
The exponent is 10.
In order for (y^5)^? to be equal to y^50, we can solve for the value of ?. To do this, we need to find the value of ? that would result in raising y^5 to the power of ? equaling y^50.
By applying the rule of exponents stating that (a^m)^n = a^(m*n), we can rewrite the expression:
(y^5)^? as y^(5*?).
Now, we can set up the equation:
y^(5*?) = y^50.
Since the bases on both sides of the equation are the same (y), we can equate the exponents:
5*? = 50.
To solve for ?, we divide both sides of the equation by 5:
(5*?)/5 = 50/5.
This simplifies to:
? = 10.
Therefore, the value of ? is 10.
To find the value of the exponent (?, in this case), we can use the property of exponents that states: (a^m)^n = a^(m*n).
In this case, we have (y^5)^? = y^50. We want to find the value of ?.
Using the property of exponents, we know that (y^5)^? = y^(5*?).
Now we can set this equal to y^50: y^(5*?) = y^50.
Since the base (y) is the same on both sides of the equation, we can equate the exponents, so 5*? = 50.
To solve for ?, divide both sides by 5: ? = 50 / 5.
This simplifies to ? = 10.
Therefore, (y^5)^10 = y^50.