Question

question 5 of 5

type the correct answer in the box. use numerals instead of words.

simplify the following expression.

\\((5^3)^0\\)

simplified form:

Explanation:

⚡ Using what you learned: properties of exponents

Step 1: Apply the power of a power rule

Multiply the exponents:

$$ (5^{3})^{0} = 5^{3 \times 0} $$

Step 2: Simplify the exponent

$$ 5^{3 \times 0} = 5^{0} $$

Step 3: Apply the zero exponent rule

Any non-zero base raised to the power of \(0\) equals \(1\):

$$ 5^{0} = 1 $$

Answer:

1