Question

Answer the question below. View the rubric linked above for help if needed.

Simplify the expression (6²a⁻³ / b⁻¹c)⁻². Show all work and explain each step.

Answer 1

`\frac{ {a}^( 6 ) {c}^(2) }{1296 {b}^(2) }`

Explanation:

By Using

`{((a)/(b) )}^( - n) = {((b)/(a))}^(n)`

Express the phrase as a positive power

We apply power in fractions for a

Six to two power can be multiplied, then multiplying the number behind A, 36

Now because on top of a fraction there is a negative power, it transferred to below the deduction, but we make the power positively

Now it's a "A" turn

After sorting the phrase "A" to the back of "c" of the phrases to power two

`\frac{ {a}^(6) {c}^(2) }{1296 {b}^(2) }`