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

Answer:

1

Step-by-step 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

$a^{-m}= \frac{1}{a^m}$

$27^{-1}= \frac{1}{27}$

$27 \cdot ((27)^{-1})$

$27 \cdot \frac{1}{27}=1$