Which expression is equivalent to 10^6 * 5^6? Choices: (A)50^12 (B)1/50^6 (C)50^6 (D)50^36

Identify Bases and Exponents: Identify the base and the exponents in the given expression. In 10^6 * 5^6, 10 and 5 are the bases raised to the exponent 6 respectively. Base: 10, 5 Exponents: 6, 6Rewrite Using Exponent Property: Rewrite the expression using the property of exponents for multiplication. We can combine the bases by multiplying them since they are raised to the same power. 10^6 * 5^6 = (10*5)^6Calculate Base Product: Calculate the product of the bases. 10 * 5 = 50 So, (10*5)^6 = 50^6Match with Given Choices: Match the result with the given choices. The expression 10^6 * 5^6 is equivalent to 50^6.

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Which expression is equivalent to $10^6 \times 5^6$ ? $\newline$ Choices: $\newline$ (A) $50^{12}$ $\newline$ (B) $\frac{1}{50^6}$ $\newline$ (C) $50^6$ $\newline$ (D) $50^{36}$

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Math Problems

Grade 8

Identify equivalent expressions involving exponents I

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Q. Which expression is equivalent to

10^6 \times 5^6

\newline

Choices:

\newline

(A)

50^{12}

\newline

(B)

\frac{1}{50^6}

\newline

(C)

50^6

\newline

(D)

50^{36}

Identify Bases and Exponents: Identify the base and the exponents in the given expression. $\newline$ In $10^6 \times 5^6$ , $10$ and $5$ are the bases raised to the exponent $6$ respectively. $\newline$ Base: $10$ , $5$ $\newline$ Exponents: $6$ , $6$
Rewrite Using Exponent Property: Rewrite the expression using the property of exponents for multiplication. $\newline$ We can combine the bases by multiplying them since they are raised to the same power. $\newline$ $10^6 \times 5^6 = (10\times5)^6$
Calculate Base Product: Calculate the product of the bases. $\newline$ $10 \times 5 = 50$ $\newline$ So, $(10\times5)^6 = 50^6$
Match with Given Choices: Match the result with the given choices. $\newline$ The expression $10^6 \times 5^6$ is equivalent to $50^6$ .