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Write in exponential notation:

8^(2)*8*8^(3)

Write in exponential notation: $\newline$ $8^{2} \cdot 8 \cdot 8^{3}$

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Understanding exponents

Full solution

Q. Write in exponential notation:

\newline

8^{2} \cdot 8 \cdot 8^{3}

Recognize Same Base: First, we recognize that all the bases in the expression are the same (base $8$ ). According to the laws of exponents, when multiplying with the same base, we add the exponents.
Identify Exponents: Now, let's identify the exponents in the expression. We have $8^{2}$ , $8^{1}$ (since $8$ is the same as $8^{1}$ ), and $8^{3}$ .
Add Exponents: Next, we add the exponents together: $2 + 1 + 3$ .
Perform Addition: Perform the addition: $2 + 1 + 3 = 6$ .
Write Combined Exponent: Now, we write the expression with the combined exponent: $8^{6}$ .

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