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

Answer:

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

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

Step-by-step 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.

$3^0 =1$

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

Answer 2

Answer:

C.  1

Step-by-step explanation:

27 * {(3³)⁻¹}

=      27    

       3³

=      27    

       27

= 1