Answer:
B, C
Step-by-step explanation:
You want to find the equivalent expressions among ...
- 4^(3x^2)
- 4^(-3x^2)
- (1/4)^(3x^2)
- (x/4)^(3x)
Rules of exponents
The relevant rule of exponents is ...
a^b = (1/a)^-b
Equivalent expressions
Expressions with the same base and different exponents will not be equivalent. (A≠B).
Expressions with different bases and the same exponent will not be equivalent. (A≠C).
A variable in the base cannot replace a variable in the exponent. (A≠D).
The rule of exponents tells us replacing the base by its reciprocal and negating the exponent will result in an equivalent expression. (B=C).
The equivalent expressions are 4^(-3x^2) and (1/4)^(3x^2).
