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Evaluate. Write your answer as a decimal or whole number. $\newline$ $(0.01)^3 =$ _____

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Powers with decimal and fractional bases

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Q. Evaluate. Write your answer as a decimal or whole number.

\newline

(0.01)^3 =

_____

Identify Base and Exponent: Identify the base and the exponent. $\newline$ In $(0.01)^3$ , $0.01$ is the base raised to the exponent $3$ . $\newline$ Base: $0.01$ $\newline$ Exponent: $3$
Choose Expanded Form: Choose the expanded form of $(0.01)^3$ $(0.01)^3$ means $0.01$ is multiplied by itself $3$ times. Expanded Form: $0.01 \times 0.01 \times 0.01$
Multiply and Simplify: $(0.01)^3 = 0.01 \times 0.01 \times 0.01$ $\newline$ Multiply to write in decimal form. $\newline$ $(0.01)^3 = 0.01 \times 0.01 \times 0.01$ $\newline$ $= (0.01 \times 0.01) \times 0.01$ $\newline$ $= 0.0001 \times 0.01$ $\newline$ $= 0.000001$ $\newline$ Simplest form of $(0.01)^3$ : $0.000001$

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