Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Feb 26, 2024

Find the value of $0^{9}$ .

STEP 1

Assumptions
1. We are calculating the value of $0$ raised to the power of $9$ .
2. The base is $0$ and the exponent is $9$ .

STEP 2

Recall the exponentiation rule that any non-zero number raised to any power is the product of multiplying that number by itself the number of times indicated by the exponent.

STEP 3

However, when the base is $0$ , the rule simplifies because multiplying $0$ by itself any number of times will always result in $0$ .

STEP 4

Apply this rule to calculate $0$ raised to the power of $9$ .
$0^{9} = 0 \times 0 \times 0 \times 0 \times 0 \times 0 \times 0 \times 0 \times 0$

STEP 5

Since multiplying any number by $0$ gives $0$ , the result of $0$ raised to any positive exponent is $0$ .
$0^{9} = 0$
The solution is $0$ .

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