Solve (-3)^0: Evaluating a Negative Base with Zero Exponent

Solve the following problem:

(3)0= \left(-3\right)^0=

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Step-by-step video solution

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00:00 Simply
00:03 According to the laws of exponents, any number raised to the power of 0 always equals 1:
00:07 We will use this formula in our exercise
00:13 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Solve the following problem:

(3)0= \left(-3\right)^0=

2

Step-by-step solution

To solve this problem, let's follow these steps:

  • Understand the zero exponent rule.

  • Apply this rule to the given expression.

  • Identify the correct answer from the given options.

According to the rule of exponents, any non-zero number raised to the power of zero is equal to 11. This is one of the fundamental properties of exponents.
Now, apply this rule:

Step 1: We are given the expression (3)0(-3)^0.
Step 2: Here, 3-3 is our base. We apply the zero exponent rule, which tells us that (3)0=1(-3)^0 = 1.

Therefore, the value of (3)0(-3)^0 is 11.

3

Final Answer

1 1

Practice Quiz

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\( (4^3)^2= \)

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