Simplify to a single power of 6: 6^(6)×6^(2) Answer: 6^◻

Identify base and exponents: Identify the base and the exponents in the expression. We have the base 6 raised to the power of 6 and the base 6 raised to the power of 2. The expression is 6^(6)×6^(2).Apply power property: Apply the product of powers property. The product of powers property states that when multiplying two powers that have the same base, you can add the exponents. So, 6^(6)×6^(2) becomes 6^(6+2).Perform exponent addition: Perform the addition of the exponents. Adding the exponents 6 and 2 gives us 6^(8).

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Simplify to a single power of 6:

6^(6)×6^(2)
Answer: 6^◻

Simplify to a single power of $6$ : $\newline$ $6^{6} \times 6^{2}$ $\newline$ Answer: $6 ^\square$

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Algebra 2

Simplify variable expressions using properties

Full solution

Q. Simplify to a single power of

6

\newline

6^{6} \times 6^{2}

\newline

Answer:

6 ^\square

Identify base and exponents: Identify the base and the exponents in the expression. $\newline$ We have the base $6$ raised to the power of $6$ and the base $6$ raised to the power of $2$ . The expression is $6^{6}\times6^{2}$ .
Apply power property: Apply the product of powers property. $\newline$ The product of powers property states that when multiplying two powers that have the same base, you can add the exponents. So, $6^{6}\times6^{2}$ becomes $6^{6+2}$ .
Perform exponent addition: Perform the addition of the exponents. $\newline$ Adding the exponents $6$ and $2$ gives us $6^{8}$ .