Select all the expressions that are equivalent to 2^6 * 2^9. Multi-select Choices: (A)(2^5)^3 (B)12^15/6^15 (C)2^54 (D)2^15

Simplify Exponents: First, simplify $2^6 \times 2^9$ using the properties of exponents. Calculation: $2^6 \times 2^9 = 2^{6+9} = 2^{15}$.Check Options: Next, check each option to see if it matches $2^{15}$. (A) $(2^5)^3 = 2^{5 \times 3} = 2^{15}$.Option (A): (B) $12^{15}/6^{15} = (12/6)^{15} = 2^{15}$.Option (B): (C) $2^{54}$ is clearly not equal to $2^{15}$, so this option is incorrect.Option (C): (D) $2^{15}$ is exactly $2^{15}$, so this option is correct.

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Select all the expressions that are equivalent to $2^6 \times 2^9$ . $\newline$ Multi-select Choices: $\newline$ (A) $(2^5)^3$ $\newline$ (B) $\frac{12^{15}}{6^{15}}$ $\newline$ (C) $2^{54}$ $\newline$ (D) $2^{15}$

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Math Problems

Algebra 2

Simplify rational expressions

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Q. Select all the expressions that are equivalent to

2^6 \times 2^9

\newline

Multi-select Choices:

\newline

(A)

(2^5)^3

\newline

(B)

\frac{12^{15}}{6^{15}}

\newline

(C)

2^{54}

\newline

(D)

2^{15}

Simplify Exponents: First, simplify $2^6 \times 2^9$ using the properties of exponents. $\newline$ Calculation: $2^6 \times 2^9 = 2^{6+9} = 2^{15}$ .
Check Options: Next, check each option to see if it matches $2^{15}$ . $\newline$ (A) $(2^5)^3 = 2^{5 \times 3} = 2^{15}$ .
Option (A): (B) $12^{15}/6^{15} = (12/6)^{15} = 2^{15}$ .
Option (B): (C) $2^{54}$ is clearly not equal to $2^{15}$ , so this option is incorrect.
Option (C): (D) $2^{15}$ is exactly $2^{15}$ , so this option is correct.