Select all the expressions that are equivalent to 10^-6 * 10^9. Multi-select Choices: (A)1/10^-54 (B)10^-54 (C)10^3 (D)1/10^3

Simplify Expression: Step 1: Simplify the expression 10^-6 * 10^9. We add the exponents since the bases are the same. 10^-6 * 10^9 = 10^(-6 + 9) = 10^3 Compare to Choices: Step 2: Compare the simplified expression to the choices. 10^3 should be matched with the given options. (A) 1/10^-54 is not equal to 10^3. (B) 10^-54 is not equal to 10^3. (C) 10^3 is exactly equal to 10^3. (D) 1/10^3 is not equal to 10^3; it's 1/1000.

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Select all the expressions that are equivalent to $10^{-6} \times 10^{9}$ . $\newline$ Multi-select Choices: $\newline$ (A) $\frac{1}{10^{-54}}$ $\newline$ (B) $10^{-54}$ $\newline$ (C) $10^{3}$ $\newline$ (D) $\frac{1}{10^{3}}$

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Math Problems

Algebra 1

Simplify exponential expressions using exponent rules

Full solution

Q. Select all the expressions that are equivalent to

10^{-6} \times 10^{9}

\newline

Multi-select Choices:

\newline

(A)

\frac{1}{10^{-54}}

\newline

(B)

10^{-54}

\newline

(C)

10^{3}

\newline

(D)

\frac{1}{10^{3}}

Simplify Expression: Step $1$ : Simplify the expression $10^{-6} \times 10^{9}$ . We add the exponents since the bases are the same. $10^{-6} \times 10^{9} = 10^{(-6 + 9)} = 10^{3}$
Compare to Choices: Step $2$ : Compare the simplified expression to the choices. $\newline$ $10^3$ should be matched with the given options. $\newline$ (A) $\frac{1}{10^{-54}}$ is not equal to $10^3$ . $\newline$ (B) $10^{-54}$ is not equal to $10^3$ . $\newline$ (C) $10^3$ is exactly equal to $10^3$ . $\newline$ (D) $\frac{1}{10^3}$ is not equal to $10^3$ ; it's $\frac{1}{1000}$ .