Question

Please help! Make sure to simplify

Answer 1

$\frac{5b^{5}c}{4c^4} \times \frac{8c}{b^4}$

$\frac{40b^{5}c^2}{4b^{4}c^4}$

${10b^{5-4}c^{2-4}}$

$10bc^-2$

$\frac{10b}{c^2}$

Answer 2

Step-by-step explanation:

$\frac{5 {b}^{5} c}{ 4{c}^{4} } \times \frac{8c}{ {b}^{4} }$

First reduce the expression with b⁴

b⁴ will cancel b^5 remaining with one b

That's

$\frac{5bc}{4 {c}^{4} } \times 8c$

Next reduce 8 and 4 with their GCF which is 4

We have

$\frac{5bc}{ {c}^{4} } \times 2c$

Reduce the expression with c .

c will go into c⁴ remaining with c³

That's

$\frac{5bc}{ {c}^{3} } \times 2$

Simplify the expression again with c

That's

$\frac{5b}{ {c}^{2} } \times 2$

Multiply the expression

We have the final answer as

$\frac{10b}{ {c}^{2} }$

Hope this helps you