Question

simplify laws of exponents 3^3 ×3 ^-2​

Answer 1

${3}^{3} \times {3}^{ - 2}$

we know that,

${a}^{ - m} = \frac{1}{ {a}^{m} }$

${3}^{ - 2} = \frac{1}{ {3}^{2} }$

${3}^{3} \times \frac{1}{ {3}^{2} }$

$\frac{ {3}^{3} }{ {3}^{2} }$

using exponential law,

$\frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n}$

$= {3}^{3 - 2}$

$= {3}^{1}$

hence the answer is 3¹ = 3

Hope it helps

have a great day

Answer 2

Step-by-step explanation:

3³=27

3-²=1/9

3³×3-²

=27×1/9

=3