Solve for p. 10^p = 1,000 p = ____

Recognize equation format: Step 1: Recognize the equation format. We have 10 raised to the power p equals 1,000. 10^p = 1,000 Express 1,000 as power: Step 2: Express 1,000 as a power of 10. 1,000 can be written as 10^3 because 10 * 10 * 10 = 1,000. 10^p = 10^3 Set exponents equal: Step 3: Since the bases are the same, set the exponents equal to each other. p = 3

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Solve for $p$ . $\newline$ $10^p = 1,000$ $\newline$ $p = \_\_\_$

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Math Problems

Grade 8

Solve equations with variable exponents

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Q. Solve for

p

\newline

10^p = 1,000

\newline

p = \_\_\_

Recognize equation format: Step $1$ : Recognize the equation format. $\newline$ We have $10$ raised to the power $p$ equals $1,000$ . $\newline$ $10^p = 1,000$
Express $1$ , $000$ as power: Step $2$ : Express $1$ , $000$ as a power of $10$ . $\newline$ $1,000$ can be written as $10^3$ because $10 \times 10 \times 10 = 1,000$ . $\newline$ $10^p = 10^3$
Set exponents equal: Step $3$ : Since the bases are the same, set the exponents equal to each other. $\newline$ $p = 3$