Question

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

Answer 1

Answer:

$- \frac{3 {b}^{4} }{ {a}^{6} }$

Step-by-step 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 $\frac{ - a}{b} = \frac{a}{ - b} = - \frac{a}{b \: }$ to rewrite the fraction

$- \frac{3 {b}^{4} }{ {a}^{6} }$

Hope this helps...

Best regards!!

Answer 2

Answer:

$\boxed{\frac{-3b^4 }{a^6 }}$

Step-by-step explanation:

$\frac{-18a^{-8}b^{-3}}{6a^{-2}b^{-7}}$

$\frac{-18}{6} \times \frac{a^{-8}}{a^{-2}} \times \frac{b^{-3}}{b^{-7}}$

$-3 \times \frac{a^{-8}}{a^{-2}} \times \frac{b^{-3}}{b^{-7}}$

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

$-3 \times a^{-8-(-2)} \times b^{-3- (-7)}$

$-3 \times a^{-8+2} \times b^{-3+7}$

$-3 \times a^{-6} \times b^{4}$

${-3a^{-6}b^{4}}$

The answer should be without negative exponents.

$a^{-6}=\frac{1}{a^6 }$

$\frac{-3b^4 }{a^6 }$