Question

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

2-6,4-3

Explanation:

Answer 2

A. 2^-6

C. 4^-3

Explanation:

Iris found a value of 1/64 when she evaluated an expression.

Which could have been the expression Iris evaluated? Check all that apply.

A. 2^-6

B. 6^-4

C. 4^-3

D. (1/2)^-5

E. (1/4)^-3

A. 2^-6

= 1 / 2^6

= 1 / 2*2*2*2*2*2

= 1 / 64

B. 6^-4

= 1 / 6^4

= 1 / 6*6*6*6

= 1 / 1,296

C. 4^-3

= 1 / 4^3

= 1 / 4*4*4

= 1 / 64

D. (1/2)^-5

= 1 ÷ (1/2)^5

= 1 × 2/1^5

= 2^5

= 2*2*2*2*2

= 32

E. (1/4)^-3

= 1 ÷ (1/4)^3

= 1 × 4/1^3

= 4^3

= 4*4*4

= 64

Options A. 2^-6 and C. 4^-3 are equivalent to 1/64