Which expression is equivalent to (10^9)^6? Choices: (A)1/10^15 (B)1/10^54 (C)10^15 (D)10^54

Understand Exponent Properties: Understand the properties of exponents. When raising a power to a power, you multiply the exponents. (10^9)^6 = 10^(9*6)Perform Exponent Multiplication: Perform the multiplication of the exponents. 9 * 6 = 54 So, (10^9)^6 = 10^54Match Result with Choices: Match the result with the given choices. The expression (10^9)^6 simplifies to 10^54, which corresponds to choice (D).

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Which expression is equivalent to $(10^9)^6$ ? $\newline$ Choices: $\newline$ (A) $\frac{1}{10^{15}}$ $\newline$ (B) $\frac{1}{10^{54}}$ $\newline$ (C) $10^{15}$ $\newline$ (D) $10^{54}$

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Math Problems

Grade 8

Identify equivalent expressions involving exponents I

Full solution

Q. Which expression is equivalent to

(10^9)^6

\newline

Choices:

\newline

(A)

\frac{1}{10^{15}}

\newline

(B)

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

\newline

(C)

10^{15}

\newline

(D)

10^{54}

Understand Exponent Properties: Understand the properties of exponents. When raising a power to a power, you multiply the exponents. $(10^9)^6 = 10^{9*6}$
Perform Exponent Multiplication: Perform the multiplication of the exponents. $\newline$ $9 \times 6 = 54$ $\newline$ So, $(10^9)^6 = 10^{54}$
Match Result with Choices: Match the result with the given choices. $\newline$ The expression $(10^9)^6$ simplifies to $10^{54}$ , which corresponds to choice (D).