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6^(-3)=

$6^{-3}=$

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Powers with negative bases

Full solution

Q.

6^{-3}=

Understand Expression: Understand the expression $6^{-3}$ . The base is $6$ and the exponent is $-3$ . This means we need to find the reciprocal of $6$ raised to the power of $3$ . Base: $6$ Exponent: $-3$
Convert to Reciprocal Form: Convert the expression with a negative exponent to its reciprocal form. $\newline$ $6^{-3}$ means $1$ divided by $6$ raised to the power of $3$ . $\newline$ Reciprocal Form of $6^{-3}$ : $\newline$ $1 / (6^3)$
Calculate Exponent: Calculate $6$ raised to the power of $3$ . $6^3$ means $6$ is multiplied by itself $3$ times. $6^3 = 6 \times 6 \times 6 = 216$
Divide to Find Value: Divide $1$ by $216$ to find the value of $6^{-3}$ . $6^{-3} = \frac{1}{6^3} = \frac{1}{216}$

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