Question

Evaluate the expression. Drag the answer into the box to match the expression. 27•((3^3)^-1) a. 27 b.3 c.1 D.1/9 100 POINTS help 100!

Answer 1

C. 1

Explanation:

27 * {(3³)⁻¹}

= 27

3³

= 27

27

= 1

Answer 2

`\Huge \boxed{\mathrm{C. \ 1}}`

`\rule[225]{225}{2}`

Explanation:

`27 \cdot ((3^3)^(-1))`

Multiplying exponents.

`27 \cdot 3^(-3)`

Rewriting 27 with base 3.

`3^3 \cdot 3^(-3)`

Adding exponents since bases are the same.

`3^0 =1`

`\rule[225]{225}{2}`