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: -3Convert to Reciprocal Form: Convert the expression with a negative exponent to its reciprocal form. 6^(-3) means 1 divided by 6 raised to the power of 3. Reciprocal Form of 6^(-3): 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 × 6 × 6 = 216Divide to Find Value: Divide 1 by 216 to find the value of 6^(-3). 6^(-3) = 1 / (6^3) = 1 / 216

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$6^{-3}=$

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Math Problems

Grade 8

Powers with negative bases

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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 $6^{-3}$ . $6^{-3} = \frac{1}{6^3} = \frac{1}{216}$