1. Complete the equation. (b^2)^?=b^8
A. 6
B. 4
C. 3
D. 1/16
My answer is B
To complete the equation (b^2)^?=b^8, we need to find the value of the exponent "?".
We know that (b^2)^? = b^8.
To get the exponent "?" on the left side of the equation, we can simplify the expression (b^2)^?.
Since we have the same base (b), we can apply the exponent multiplication rule, which states that when we raise an exponent to another exponent, we multiply the exponents.
So, (b^2)^? becomes b^(2*?).
Now our equation becomes b^(2*?) = b^8.
To solve for "?", we need to equate the exponents on both sides of the equation. In this case, we have 2*? = 8.
Dividing both sides of the equation by 2, we get ? = 8/2.
Therefore, ? = 4.
Hence, the answer is B. 4