Final answer:
The pair of expressions with equivalent values is A. 1¹³ and 1¹µ, as any non-zero number raised to any power still equals 1.
Step-by-step explanation:
The question asks which pair of expressions has equivalent values. This is a mathematics problem involving integer powers. To find the equivalent expressions, we need to understand the concept of raising a number to a power, such as 4³, which means multiplying the number by itself as many times as the exponent indicates (4× 4× 4 in this case).
Now let's review each pair of expressions:
- A. 1¹³ and 1¹µ: Both expressions will equal 1 because any non-zero number raised to any power will still be 1.
- B. 6¹ and g¹: Since we don't know the value of 'g', we cannot determine the equivalence of these expressions.
- C. 7¸ and 8·: These expressions are not equivalent because the bases and the exponents are different, leading to different values.
- D. g² and 4³: Without the value of 'g', we cannot determine if these expressions are equivalent; however, it is highly unlikely as 4³ is specifically 64 and g² would have to be a square of 8
Therefore, the pair with equivalent values is A. 1¹³ and 1¹µ.