Question

Which pair of expressions has equivalent values?
1 Superscript 13 and 1 Superscript 15
6 Superscript 1 and 9 Superscript 1
7 Superscript 8 and 8 Superscript 7
9 squared and 4 cubed

Answer 1

To find which pair of expressions has equivalent values, let's evaluate each option:

1. **1 Superscript 13 and 1 Superscript 15**:
\[
1^{13} = 1 \quad \text{and} \quad 1^{15} = 1
\]
Both values are equal (1).

2. **6 Superscript 1 and 9 Superscript 1**:
\[
6^{1} = 6 \quad \text{and} \quad 9^{1} = 9
\]
These values are not equal (6 ≠ 9).

3. **7 Superscript 8 and 8 Superscript 7**:
\[
7^{8} \quad \text{and} \quad 8^{7}
\]
These values are not equal, as \( 7^8 \) is approximately 5764801 and \( 8^7 \) is 2097152.

4. **9 squared and 4 cubed**:
\[
9^2 = 81 \quad \text{and} \quad 4^3 = 64
\]
These values are not equal (81 ≠ 64).

Therefore, the only pair of expressions with equivalent values is **1 Superscript 13 and 1 Superscript 15**.