Question

Big Ideas Math Help

Evaluate:

a. 3 to the -3 power x 3 to the -2 power

b. -3/(-3) to the 2 power

Answer 1

Let's do

#a

`\\ \rm\Rrightarrow 3^(-3)* 3^(-2)`

`\\ \rm\Rrightarrow 3^(-3-2)`

`\\ \rm\Rrightarrow 3^(-5)`

`\\ \rm\Rrightarrow (1)/(3^5)`

`\\ \rm\Rrightarrow (1)/(243)`

#b

`\\ \rm\Rrightarrow (-3)/((-3)^2)`

`\\ \rm\Rrightarrow (-3)/(9)`

`\\ \rm\Rrightarrow (-1)/(3)`

Answer 2

`\mathbb{PROBLEM:}`

Evaluate:

a. 3 to the -3 power x 3 to the -2 power

b. -3/(-3) to the 2 power

`\mathbb{SOLUTION:}`

a. 3 to the -3 power x 3 to the -2 power

`\tt \: {3}^( - 3) * {3}^( - 2)`

`\tt \: {3}^( - 3 - 2)`

`\tt {3}^( - 5)`

`\tt (1)/(3.5)`

`\underline \bold\green{ (1)/(243) }`

b. -3/(-3) to the 2 power

`\tt \: \frac{ \: \: - 3}{ \: ( - 3) {}^(2) }`

`\tt \: ( \: \: - 3)/( 9)`

`\underline \bold \green{ ( \: - 1)/(3 \: ) }`

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