Question

Simplify the expression.
Write your answer without negative exponents. NEED AN ANSWER ASAP​

Answer 1

`\boxed{(-3b^4 )/(a^6 )}`

Explanation:

`(-18a^(-8)b^(-3))/(6a^(-2)b^(-7))`

`(-18)/(6) * (a^(-8))/(a^(-2)) * (b^(-3))/(b^(-7))`

`-3 * (a^(-8))/(a^(-2)) * (b^(-3))/(b^(-7))`

Apply the law of exponents, when dividing exponents with same base, we subtract the exponents.

`-3 * a^(-8-(-2)) * b^(-3- (-7))`

`-3 * a^(-8+2) * b^(-3+7)`

`-3 * a^(-6) * b^(4)`

`{-3a^(-6)b^(4)}`

The answer should be without negative exponents.

`a^(-6)=(1)/(a^6 )`

`(-3b^4 )/(a^6 )`

Answer 2

`- \frac{3 {b}^(4) }{ {a}^(6) }`

Explanation:

`\frac{ - 18 {a}^( - 8) {b}^( - 3) }{6 {a}^( - 2) {b}^( - 7) }`

Reduce the fraction with 6

`\frac{ - 3 {a}^( - 8) {b}^( - 3) }{ {a}^( - 2) {b}^( - 7) }`

Simplify the expression

`\frac{ - 3 {b}^(4) }{ {a}^(6) }`

Use
`( - a)/(b) = (a)/( - b) = - (a)/(b \: )` to rewrite the fraction

`- \frac{3 {b}^(4) }{ {a}^(6) }`

Hope this helps...

Best regards!!