Math  /  Numbers & Operations

QuestionEvaluate the following exponential expression. (1)3(1)3=\begin{array}{c} (-1)^{3} \\ (-1)^{3}= \end{array}

Studdy Solution

STEP 1

1. The expression (1)3(-1)^3 involves exponentiation of the base 1-1.
2. The exponentiation operation follows the rules of powers and exponents.
3. The base 1-1 raised to any odd integer power results in 1-1.

STEP 2

1. Evaluate the given expression by applying the rules of exponentiation.

STEP 3

Evaluate the power using the rule of exponents:
(1)3=1×1×1 (-1)^3 = -1 \times -1 \times -1

STEP 4

Multiply the first two terms:
1×1=1 -1 \times -1 = 1

STEP 5

Multiply the result by the remaining 1-1:
1×1=1 1 \times -1 = -1
Solution: (1)3=1 (-1)^3 = -1

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