Which expression is equivalent to 6^9 * 6^4? Choices: (A)6^13 (B)1/6^13 (C)1/6^36 (D)6^36

Identify Base and Exponents: Identify the base and the exponents in the expression 6^9 * 6^4. The base is 6, and the exponents are 9 and 4, respectively. Base: 6 Exponents: 9, 4Apply Multiplication Rule: Apply the rule for multiplying powers with the same base. When multiplying powers with the same base, we add the exponents. 6^9 * 6^4 = 6^(9+4)Perform Exponent Addition: Perform the addition of the exponents. 6^(9+4) = 6^13Choose Equivalent Expression: Choose the equivalent expression for 6^9 * 6^4. From the choices given, 6^13 is the equivalent expression.

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Which expression is equivalent to $6^9 \times 6^4$ ? $\newline$ Choices: $\newline$ (A) $6^{13}$ $\newline$ (B) $\frac{1}{6^{13}}$ $\newline$ (C) $\frac{1}{6^{36}}$ $\newline$ (D) $6^{36}$

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Math Problems

Grade 8

Identify equivalent expressions involving exponents I

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Q. Which expression is equivalent to

6^9 \times 6^4

\newline

Choices:

\newline

(A)

6^{13}

\newline

(B)

\frac{1}{6^{13}}

\newline

(C)

\frac{1}{6^{36}}

\newline

(D)

6^{36}

Identify Base and Exponents: Identify the base and the exponents in the expression $6^9 \times 6^4$ . The base is $6$ , and the exponents are $9$ and $4$ , respectively. Base: $6$ Exponents: $9$ , $4$
Apply Multiplication Rule: Apply the rule for multiplying powers with the same base. $\newline$ When multiplying powers with the same base, we add the exponents. $\newline$ $6^9 \times 6^4 = 6^{9+4}$
Perform Exponent Addition: Perform the addition of the exponents. $6^{9+4} = 6^{13}$
Choose Equivalent Expression: Choose the equivalent expression for $6^9 \times 6^4$ . From the choices given, $6^{13}$ is the equivalent expression.