Question

Interpreting a Solution of an Expression
Iris found a value of 1
64
when she evaluated an expression.

Which could have been the expression Iris evaluated? Check all that apply.
2-6
6-4
4-3
(one-half) Superscript negative 5
(one-fourth) Superscript negative 3

Answer 1

2^-6 and 4^-3

Reason: a negative exponent means reciprocal.
- 2^-6 = 1/2^6 = 1/64
- 4^-3 = 1/4^3 = 1/64

The others give different values:
- 6^-4 = 1/6^4 = 1/1296
- (1/2)^-5 = 2^5 = 32
- (1/4)^-3 = 4^3 = 64