How to express 5 to the power of 5?

Answer: 5 to the power of 5 is 5^5

Exponents are a concise way to show repeated multiplication of a number by itself. The phrase '5 to the power of 5' means multiplying five by itself five times. This notation helps simplify expressions and calculations in mathematics.

Methods

Math Tutor Explanation Using Exponential Notation

Exponential notation is used to compactly represent repeated multiplication of a base number. Here, '5' is the base and '5' is the exponent.

Step 1: Step 1: Identify the base (5) and the exponent (5)

Step 2: Step 2: Write the expression as 5^5

Math Tutor Explanation Using Expanded Multiplication

You can also write out the multiplication to see what '5 to the power of 5' means in expanded form.

Step 1: Step 1: Write 5 multiplied by itself 5 times: 5 × 5 × 5 × 5 × 5

Step 2: Step 2: Recognize this multiplication is equivalent to 5^5

Step 1:

Step 2:

Math Tutor suggests: Practice Exponents and Powers

Explore more questions about exponents and how to express and work with powers of numbers. These exercises will help you deepen your understanding of exponent notation and calculations.

FAQ on Expressing Exponents

What does an exponent mean?

An exponent shows how many times a number is multiplied by itself.

Is 5^5 the same as 5 × 5 × 5 × 5 × 5?

Yes, they are equivalent.

What is the value of 5 to the power of 5?

5 to the power of 5 is 3125.

How do you write exponents in words?

Write the base, the word 'to the power of', and then the exponent, such as '5 to the power of 5'.

Can exponents be negative or fractions?

Yes, exponents can be negative or fractional, representing division or roots, respectively.

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