Explain how to use properties of powers to simplify the expression $27 • 3^{2} .$

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Solution

Given expression as $27 • 3^{2}$ ^,
First we write $27$ as power of $3$ , so $27 = 3 \times 3 \times 3 = 3^{3}$ .
Now, $27 • 3^{2} = 3^{3} • 3^{2}$ (Using exponent law $a^{m} \times a^{n} = a^{m + n}$ )
$= 3^{3 + 2}$
$= 3^{5}$

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Explain how to use properties of powers to simplify the expression 27•32.

Given expression as27•32 , First we write 27 as power of 3, so 27=3×3×3=33.Now, 27•32=33•32 (Using exponent law am×an=am+n ) =33+2 =35

Explain how to use properties of powers to simplify the expression $27 • 3^{2} .$

Given expression as $27 • 3^{2}$ ^,
First we write $27$ as power of $3$ , so $27 = 3 \times 3 \times 3 = 3^{3}$ .
Now, $27 • 3^{2} = 3^{3} • 3^{2}$ (Using exponent law $a^{m} \times a^{n} = a^{m + n}$ )
$= 3^{3 + 2}$
$= 3^{5}$