Question

Evaluate the expression. Drag the answer into the box to match the expression. 27⋅((33)−1) 

27
3
1
1/9

Answer 1

The answer is 1.

3^3 = 27
27^-1 = 1/27
1/27 x 27 = 1

I took this test and got this question right.

Answer 2

1

Explanation:

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

We need to evaluate the given expression

3^3 is 3 times 3 times 3= 27

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

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

Now we apply exponential property

`a^(-m)= (1)/(a^m)`

`27^(-1)= (1)/(27)`

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

`27 \cdot (1)/(27)=1`