(z^?)^7 =z^49
?=
The value of ? is 7.
To find the value of "?", we can use the property of exponents which states that (a^b)^c = a^(b*c).
In this case, we have (z^?)^7 = z^49.
So, we can equate the exponents on both sides:
? * 7 = 49
To solve for "?", we can divide both sides of the equation by 7:
? = 49 / 7
Simplifying the right side of the equation:
? = 7
Therefore, the value of "?" is 7.
To find the value of the missing exponent, we need to use the property of exponents that states when you raise a power to another power, you multiply the exponents.
In this case, we have (z^?)^7 = z^49. To find the missing exponent, we can use the fact that raising a power to the reciprocal of its exponent will result in the original base value.
So, the equation becomes z^(? * 7) = z^49.
Since we know that z^1 = z for any value of z, we can equate the exponents:
? * 7 = 49.
Now, we solve for the missing exponent:
? = 49 / 7 = 7.
Therefore, the missing exponent is 7.