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Evaluate $10^0*x^{-3}$ when $x=5$

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Simplify exponential expressions using exponent rules

Full solution

Q. Evaluate

10^0*x^{-3}

when

x=5

Calculate $10^0$ : Step $1$ : Calculate $10^0$ . $\newline$ $10^0$ is always equal to $1$ , regardless of the exponent's base. $\newline$ Calculation: $10^0 = 1$ .
Substitute $x = 5$ : Step $2$ : Substitute $x = 5$ into $x^{-3}$ . $\newline$ Replace $x$ with $5$ in the expression $x^{-3}$ . $\newline$ Calculation: $5^{-3} = \frac{1}{5^3} = \frac{1}{125}$ .
Multiply the results: Step $3$ : Multiply the results of Step $1$ and Step $2$ . $\newline$ Multiply $1$ (from $10^0$ ) by $1/125$ (from $5^{-3}$ ). $\newline$ Calculation: $1 \times 1/125 = 1/125$ .

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