asked 97.9k views
1 vote
Which expression is an equivalent form of the expression (0.1)-27

0.12
-10²
10²
0.1²

asked
User Jjt
by
7.5k points

1 Answer

5 votes

Answer:

10²

Explanation:

To find the equivalent form of the expression (0.1)^-27, we need to understand the properties of exponents and apply them correctly.

The property we'll use here is the negative exponent property, which states that a number raised to a negative exponent is equal to the reciprocal of the number raised to the positive exponent.

In this case, the expression (0.1)^-27 means taking the reciprocal of 0.1 raised to the positive exponent 27.

Reciprocal of 0.1 is 1/0.1, which simplifies to 10.

Therefore, an equivalent form of the expression (0.1)^-27 is 10^27.

Among the options given, the expression that represents an equivalent form is 10²

answered
User Portable
by
8.4k points
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